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No, it will not help your business. Personal and business accounts report to different credit agencies. While a few "business cards" do report on your personal credit, personal cards do not report on a business credit. How would you have the card issued: to "XYZ Company" How would the signature or identification be verified at point of sale? On a business card, there are two lines....the business name and the name of the individual user.
The only way to help your business credit personally is to apply for a "business card" or business credit and sign as the guarantor. Many cards won't need to see any financials on the business when using you as the guarantor. I recommend that you apply with an issuer who reporst ONLY to business credit so that your personal FICO is not affected. Only in this way can you use your personal credit strength to build up business credit.
There are also potentially other personal liability problems with this setup, regardless of your business structure. You don't ever want to mingle business and personal accounts if it can be avoided. The further apart from each other they are, the better.
If you're a sole prop, it doesn't make a heck of a lot of difference, but if you're an LLC, for instance, the co-mingling of funds and credit accounts could eliminate the protections afforded to you by virtue of being an LLC, and that's the only reason to become an LLC in the first place.
Very interesting idea, though!
Carry on...