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Finding the Fourth Proportional to 6,151.92, 9,223.80 and 3,232.68

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Solution

The fourth proportional to 6,151.92, 9,223.80 and 3,232.68 is: 4,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.92 : 9,223.80 = 3,232.68 : x
  2. Step 2: Convert to fraction form
    6,151.92/9,223.80 = 3,232.68/x
  3. Step 3: Cross multiply
    6,151.92x = 9,223.80 × 3,232.68
  4. Step 4: Simplify right side
    6,151.92x = 29,817,593.78
  5. Step 5: Solve for x
    x = 29,817,593.78/6,151.92
  6. Step 6: Final answer
    x = 4,846.88

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