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Finding the Fourth Proportional to 9,158.20, 13,737.30 and 2,584.30

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Solution

The fourth proportional to 9,158.20, 13,737.30 and 2,584.30 is: 3,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.20 : 13,737.30 = 2,584.30 : x
  2. Step 2: Convert to fraction form
    9,158.20/13,737.30 = 2,584.30/x
  3. Step 3: Cross multiply
    9,158.20x = 13,737.30 × 2,584.30
  4. Step 4: Simplify right side
    9,158.20x = 35,501,304.39
  5. Step 5: Solve for x
    x = 35,501,304.39/9,158.20
  6. Step 6: Final answer
    x = 3,876.45

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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.