$9.$ Premier, an electrical supply company, sold $$6,400$ of equipment to Center Wiring, Inc. Premier signed a promissory note May $12$ with $3\mathrm{.}6\%$ interest. The due date was August $10.$ Short of funds, Premier contacted Charter One Bank on July $20$; the bank agreed to take over the note at a $5\mathrm{.}3\%$ discount.

What proceeds will Premier receive? $($Use $360$ days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.$)$