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Finding the Fourth Proportional to 9,121.92, 12,589.12 and 5,397.12

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Solution

The fourth proportional to 9,121.92, 12,589.12 and 5,397.12 is: 7,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.92 : 12,589.12 = 5,397.12 : x
  2. Step 2: Convert to fraction form
    9,121.92/12,589.12 = 5,397.12/x
  3. Step 3: Cross multiply
    9,121.92x = 12,589.12 × 5,397.12
  4. Step 4: Simplify right side
    9,121.92x = 67,944,991.33
  5. Step 5: Solve for x
    x = 67,944,991.33/9,121.92
  6. Step 6: Final answer
    x = 7,448.54

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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.