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Finding the Fourth Proportional to 6,737.23, 9,297.66 and 3,753.06

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Solution

The fourth proportional to 6,737.23, 9,297.66 and 3,753.06 is: 5,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.23 : 9,297.66 = 3,753.06 : x
  2. Step 2: Convert to fraction form
    6,737.23/9,297.66 = 3,753.06/x
  3. Step 3: Cross multiply
    6,737.23x = 9,297.66 × 3,753.06
  4. Step 4: Simplify right side
    6,737.23x = 34,894,633.94
  5. Step 5: Solve for x
    x = 34,894,633.94/6,737.23
  6. Step 6: Final answer
    x = 5,179.38

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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.