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Finding the Fourth Proportional to 6,240.54, 9,358.98 and 5,142.18

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Solution

The fourth proportional to 6,240.54, 9,358.98 and 5,142.18 is: 7,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,240.54 : 9,358.98 = 5,142.18 : x
  2. Step 2: Convert to fraction form
    6,240.54/9,358.98 = 5,142.18/x
  3. Step 3: Cross multiply
    6,240.54x = 9,358.98 × 5,142.18
  4. Step 4: Simplify right side
    6,240.54x = 48,125,559.78
  5. Step 5: Solve for x
    x = 48,125,559.78/6,240.54
  6. Step 6: Final answer
    x = 7,711.76

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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.