On October 1, 2023, an investor purchases a $10,000 par T-bond that matures in 12 years with a coupon rate of 6% and the investor buys the bond 75 days after the last coupon payment. The next coupon payment will be made on March 29, 2024 (180 days after the last coupon payment). The yield to maturity on the day of purchase is 4.8%. Find the dirty price of the bond.