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Finding the Fourth Proportional to 9,762.96, 14,642.25 and 4,492.92

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Solution

The fourth proportional to 9,762.96, 14,642.25 and 4,492.92 is: 6,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.96 : 14,642.25 = 4,492.92 : x
  2. Step 2: Convert to fraction form
    9,762.96/14,642.25 = 4,492.92/x
  3. Step 3: Cross multiply
    9,762.96x = 14,642.25 × 4,492.92
  4. Step 4: Simplify right side
    9,762.96x = 65,786,457.87
  5. Step 5: Solve for x
    x = 65,786,457.87/9,762.96
  6. Step 6: Final answer
    x = 6,738.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.