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Finding the Fourth Proportional to 9,046.86, 12,489.03 and 5,691.30

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Solution

The fourth proportional to 9,046.86, 12,489.03 and 5,691.30 is: 7,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.86 : 12,489.03 = 5,691.30 : x
  2. Step 2: Convert to fraction form
    9,046.86/12,489.03 = 5,691.30/x
  3. Step 3: Cross multiply
    9,046.86x = 12,489.03 × 5,691.30
  4. Step 4: Simplify right side
    9,046.86x = 71,078,816.44
  5. Step 5: Solve for x
    x = 71,078,816.44/9,046.86
  6. Step 6: Final answer
    x = 7,856.74

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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.