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Finding the Fourth Proportional to 6,721.92, 9,276.18 and 3,737.76

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Solution

The fourth proportional to 6,721.92, 9,276.18 and 3,737.76 is: 5,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.92 : 9,276.18 = 3,737.76 : x
  2. Step 2: Convert to fraction form
    6,721.92/9,276.18 = 3,737.76/x
  3. Step 3: Cross multiply
    6,721.92x = 9,276.18 × 3,737.76
  4. Step 4: Simplify right side
    6,721.92x = 34,672,134.56
  5. Step 5: Solve for x
    x = 34,672,134.56/6,721.92
  6. Step 6: Final answer
    x = 5,158.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.