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Finding the Fourth Proportional to 6,737.31, 9,297.38 and 3,753.41

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Solution

The fourth proportional to 6,737.31, 9,297.38 and 3,753.41 is: 5,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.31 : 9,297.38 = 3,753.41 : x
  2. Step 2: Convert to fraction form
    6,737.31/9,297.38 = 3,753.41/x
  3. Step 3: Cross multiply
    6,737.31x = 9,297.38 × 3,753.41
  4. Step 4: Simplify right side
    6,737.31x = 34,896,841.96
  5. Step 5: Solve for x
    x = 34,896,841.96/6,737.31
  6. Step 6: Final answer
    x = 5,179.64

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Why These Related Problems?

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