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Finding the Fourth Proportional to 9,652.92, 14,468.40 and 7,305.28

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Solution

The fourth proportional to 9,652.92, 14,468.40 and 7,305.28 is: 10,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.92 : 14,468.40 = 7,305.28 : x
  2. Step 2: Convert to fraction form
    9,652.92/14,468.40 = 7,305.28/x
  3. Step 3: Cross multiply
    9,652.92x = 14,468.40 × 7,305.28
  4. Step 4: Simplify right side
    9,652.92x = 105,695,713.15
  5. Step 5: Solve for x
    x = 105,695,713.15/9,652.92
  6. Step 6: Final answer
    x = 10,949.61

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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.