NeoTech is a company founded by Gina. Gina owns $14$ million common shares of NeoTech. Recently, the company raised $$4$ million from New Ventures VC in exchange for $6$ million preferred shares. The preferred shares are convertible on a one$-$for$-$one basis initially with a $6\%$ annual accrued interest rate with a $1\mathrm{.}5$X participating liquidating preference.

The company is not expected to raise any further financing but is expected to be acquired in $5$ years for $$27$ million.

How much will Gina receive in selling her shares with the sale of the company in $5$ years?

Express your answer in $ millions to two decimal places e$.$g$.$ $$5\mathrm{.}62$ million should be expressed as $5\mathrm{.}62.$

Answer: $13\mathrm{.}35$