Sophia, a self$-$employed professional, relied on her personal car for extensive business trips throughout the year. She incurred $$3,800$ in gasoline expenses. The depreciation for Sophia's car, if fully employed for business, would amount to $$9,000.$ Over the year, Sophia drove a total of $28,000$ miles, with $7,200$ miles meticulously documented for business purposes. Considering the standard mileage deduction rate for business use, what business expense amount can Sophia deduct $($if any$)$ for these trips?

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