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Finding the Fourth Proportional to 6,737.81, 9,297.79 and 3,712.32

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Solution

The fourth proportional to 6,737.81, 9,297.79 and 3,712.32 is: 5,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.81 : 9,297.79 = 3,712.32 : x
  2. Step 2: Convert to fraction form
    6,737.81/9,297.79 = 3,712.32/x
  3. Step 3: Cross multiply
    6,737.81x = 9,297.79 × 3,712.32
  4. Step 4: Simplify right side
    6,737.81x = 34,516,362.49
  5. Step 5: Solve for x
    x = 34,516,362.49/6,737.81
  6. Step 6: Final answer
    x = 5,122.79

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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.