An investment of $$1572\mathrm{.}00$ earned interest quarterly. If the balance after $6\mathrm{.}5$ years was $$2490\mathrm{.}38,$ what nominal annual rate compounded quarterly was charged?

The nominal annual rate of interest is $\%.$

$($Round the final answer to four decimal places as needed. Round all intermediate values to six decimal places as needed.$)$