A parallel plate capacitor with plate area $\mathrm{A}$ and plate separation $\mathrm{d}$ is filled with a dielectric material of dielectric constant $K=4$. The thickness of the dielectric material is $x$, where $x < d$.

Let $\mathrm{C}_{1}$ and $\mathrm{C}_{2}$ be the capacitance of the system for $\chi=\frac{1}{3} d$ and $\mathcal{X}=\frac{2 d}{3}$, respectively. If $\mathrm{C}_{1}=2 \mu \mathrm{F}$ the value of $\mathrm{C}_{2}$ is __________ $\mu \mathrm{F}$