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Finding the Fourth Proportional to 9,132.84, 13,696.38 and 3,937.56

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Solution

The fourth proportional to 9,132.84, 13,696.38 and 3,937.56 is: 5,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.84 : 13,696.38 = 3,937.56 : x
  2. Step 2: Convert to fraction form
    9,132.84/13,696.38 = 3,937.56/x
  3. Step 3: Cross multiply
    9,132.84x = 13,696.38 × 3,937.56
  4. Step 4: Simplify right side
    9,132.84x = 53,930,318.03
  5. Step 5: Solve for x
    x = 53,930,318.03/9,132.84
  6. Step 6: Final answer
    x = 5,905.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.