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Finding the Fourth Proportional to 6,737.68, 9,293.43 and 3,943.18

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Solution

The fourth proportional to 6,737.68, 9,293.43 and 3,943.18 is: 5,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.68 : 9,293.43 = 3,943.18 : x
  2. Step 2: Convert to fraction form
    6,737.68/9,293.43 = 3,943.18/x
  3. Step 3: Cross multiply
    6,737.68x = 9,293.43 × 3,943.18
  4. Step 4: Simplify right side
    6,737.68x = 36,645,667.31
  5. Step 5: Solve for x
    x = 36,645,667.31/6,737.68
  6. Step 6: Final answer
    x = 5,438.91

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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.