A specimen is originally $1$ ft long, has a diameter of $0\mathrm{.}5$ in$.,$ and is subjected to a force of $500$ lb$.$ When the force is increased from $500$ lb to $1800$ lb$,$ the specimen elongates $0\mathrm{.}009$ in$.$ Determine the modulus of elasticity $(2$decimal places in $10^3$ ksi$)$ for the material if it remains linear elastic.