Julie is interested in retiring sooner rather than later. Currently, she has $$2,091,200$ in her retirement account. However, she is interested in reaching $$6,000,000$ in the account by the time she retires. If she can earn $12\%$ per year, how long will it take Julie to reach her savings goal?

$12\mathrm{.}0$ years

$9\mathrm{.}3$ years

$8\mathrm{.}5$ years

$10\mathrm{.}1$ years