0. Three individuals form a partnership and agree to divide the profits equally. $X$ invests $\$ 9,000, Y$ invests $\$ 7,000$, $Z$ invests $\$ 4,000$. If the profits are $\$ 4,800$, how much less does $\mathrm{X}$ receive than if the profits were divided in proportion to the amount invested?

Step 1 ：First, calculate the total investment made by X, Y, and Z. This is done by adding the individual investments: \(9000 + 7000 + 4000 = 20000\) dollars.

Step 2 ：Next, calculate the proportion of the total investment that X made. This is done by dividing X's investment by the total investment: \(\frac{9000}{20000} = 0.45\). This means that X contributed 45% of the total investment.

Step 3 ：If the profits were divided equally, each person would receive \(\frac{4800}{3} = 1600.0\) dollars.

Step 4 ：If the profits were divided in proportion to the amount invested, X would receive 45% of the profits, which is \(0.45 * 4800 = 2160.0\) dollars.

Step 5 ：The difference between the amount X would receive if the profits were divided equally and the amount X would receive if the profits were divided in proportion to the amount invested is \(2160.0 - 1600.0 = 560.0\) dollars.

Step 6 ：Final Answer: X would receive \(\boxed{560}\) dollars less if the profits were divided equally compared to if the profits were divided in proportion to the amount invested.