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Finding the Fourth Proportional to 9,380.46, 12,944.57 and 5,188.71

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Solution

The fourth proportional to 9,380.46, 12,944.57 and 5,188.71 is: 7,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.46 : 12,944.57 = 5,188.71 : x
  2. Step 2: Convert to fraction form
    9,380.46/12,944.57 = 5,188.71/x
  3. Step 3: Cross multiply
    9,380.46x = 12,944.57 × 5,188.71
  4. Step 4: Simplify right side
    9,380.46x = 67,165,593.86
  5. Step 5: Solve for x
    x = 67,165,593.86/9,380.46
  6. Step 6: Final answer
    x = 7,160.16

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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.