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Finding the Fourth Proportional to 9,737.49, 13,438.74 and 5,963.16

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Solution

The fourth proportional to 9,737.49, 13,438.74 and 5,963.16 is: 8,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.49 : 13,438.74 = 5,963.16 : x
  2. Step 2: Convert to fraction form
    9,737.49/13,438.74 = 5,963.16/x
  3. Step 3: Cross multiply
    9,737.49x = 13,438.74 × 5,963.16
  4. Step 4: Simplify right side
    9,737.49x = 80,137,356.82
  5. Step 5: Solve for x
    x = 80,137,356.82/9,737.49
  6. Step 6: Final answer
    x = 8,229.78

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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.