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Finding the Fourth Proportional to 6,151.60, 9,229.08 and 2,456.46

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Solution

The fourth proportional to 6,151.60, 9,229.08 and 2,456.46 is: 3,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.60 : 9,229.08 = 2,456.46 : x
  2. Step 2: Convert to fraction form
    6,151.60/9,229.08 = 2,456.46/x
  3. Step 3: Cross multiply
    6,151.60x = 9,229.08 × 2,456.46
  4. Step 4: Simplify right side
    6,151.60x = 22,670,865.86
  5. Step 5: Solve for x
    x = 22,670,865.86/6,151.60
  6. Step 6: Final answer
    x = 3,685.36

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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.