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Finding the Fourth Proportional to 6,151.60, 9,227.42 and 2,454.76

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Solution

The fourth proportional to 6,151.60, 9,227.42 and 2,454.76 is: 3,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.60 : 9,227.42 = 2,454.76 : x
  2. Step 2: Convert to fraction form
    6,151.60/9,227.42 = 2,454.76/x
  3. Step 3: Cross multiply
    6,151.60x = 9,227.42 × 2,454.76
  4. Step 4: Simplify right side
    6,151.60x = 22,651,058.08
  5. Step 5: Solve for x
    x = 22,651,058.08/6,151.60
  6. Step 6: Final answer
    x = 3,682.14

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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.