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Finding the Fourth Proportional to 9,472.92, 14,209.50 and 3,629.88

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Solution

The fourth proportional to 9,472.92, 14,209.50 and 3,629.88 is: 5,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.92 : 14,209.50 = 3,629.88 : x
  2. Step 2: Convert to fraction form
    9,472.92/14,209.50 = 3,629.88/x
  3. Step 3: Cross multiply
    9,472.92x = 14,209.50 × 3,629.88
  4. Step 4: Simplify right side
    9,472.92x = 51,578,779.86
  5. Step 5: Solve for x
    x = 51,578,779.86/9,472.92
  6. Step 6: Final answer
    x = 5,444.87

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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.