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Finding the Fourth Proportional to 9,380.62, 12,945.22 and 5,188.87

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Solution

The fourth proportional to 9,380.62, 12,945.22 and 5,188.87 is: 7,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.62 : 12,945.22 = 5,188.87 : x
  2. Step 2: Convert to fraction form
    9,380.62/12,945.22 = 5,188.87/x
  3. Step 3: Cross multiply
    9,380.62x = 12,945.22 × 5,188.87
  4. Step 4: Simplify right side
    9,380.62x = 67,171,063.70
  5. Step 5: Solve for x
    x = 67,171,063.70/9,380.62
  6. Step 6: Final answer
    x = 7,160.62

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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.