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Finding the Fourth Proportional to 6,737.25, 9,297.03 and 3,712.27

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Solution

The fourth proportional to 6,737.25, 9,297.03 and 3,712.27 is: 5,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.25 : 9,297.03 = 3,712.27 : x
  2. Step 2: Convert to fraction form
    6,737.25/9,297.03 = 3,712.27/x
  3. Step 3: Cross multiply
    6,737.25x = 9,297.03 × 3,712.27
  4. Step 4: Simplify right side
    6,737.25x = 34,513,085.56
  5. Step 5: Solve for x
    x = 34,513,085.56/6,737.25
  6. Step 6: Final answer
    x = 5,122.73

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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.