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Finding the Fourth Proportional to 6,151.64, 9,231.92 and 2,454.92

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Solution

The fourth proportional to 6,151.64, 9,231.92 and 2,454.92 is: 3,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.64 : 9,231.92 = 2,454.92 : x
  2. Step 2: Convert to fraction form
    6,151.64/9,231.92 = 2,454.92/x
  3. Step 3: Cross multiply
    6,151.64x = 9,231.92 × 2,454.92
  4. Step 4: Simplify right side
    6,151.64x = 22,663,610.44
  5. Step 5: Solve for x
    x = 22,663,610.44/6,151.64
  6. Step 6: Final answer
    x = 3,684.16

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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.