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Finding the Fourth Proportional to 9,115.92, 12,574.32 and 5,755.92

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Solution

The fourth proportional to 9,115.92, 12,574.32 and 5,755.92 is: 7,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.92 : 12,574.32 = 5,755.92 : x
  2. Step 2: Convert to fraction form
    9,115.92/12,574.32 = 5,755.92/x
  3. Step 3: Cross multiply
    9,115.92x = 12,574.32 × 5,755.92
  4. Step 4: Simplify right side
    9,115.92x = 72,376,779.97
  5. Step 5: Solve for x
    x = 72,376,779.97/9,115.92
  6. Step 6: Final answer
    x = 7,939.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.