Mary turned age $62$ in $2024$ with AIME of $$9,000.$ Ignoring inflation adjustments and future earnings, what is her PIA?

Use Bend Points, $1,174$ and $7078$

Group of answer choices

$$2,993\mathrm{.}41$

$$3,234\mathrm{.}20$

$$1,994\mathrm{.}73$

$$875\mathrm{.}10$