$4\mathrm{.}14$ As shown next. Suppose you make annual deposits of $$3\mathrm{.}000$ in an account that pays annual compound interest of $6\%$ the first $2$ years, $5\%$ the next $2$ years, $4\%$ the next $2$ years, and $3\%$ the next $2$ years. How much will be in the account after the ninth deposit?

$F_q=?$