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Finding the Fourth Proportional to 6,002.87, 9,005.31 and 2,494.76

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Solution

The fourth proportional to 6,002.87, 9,005.31 and 2,494.76 is: 3,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.87 : 9,005.31 = 2,494.76 : x
  2. Step 2: Convert to fraction form
    6,002.87/9,005.31 = 2,494.76/x
  3. Step 3: Cross multiply
    6,002.87x = 9,005.31 × 2,494.76
  4. Step 4: Simplify right side
    6,002.87x = 22,466,042.15
  5. Step 5: Solve for x
    x = 22,466,042.15/6,002.87
  6. Step 6: Final answer
    x = 3,742.55

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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.