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Finding the Fourth Proportional to 9,380.32, 12,944.88 and 5,188.96

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Solution

The fourth proportional to 9,380.32, 12,944.88 and 5,188.96 is: 7,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.32 : 12,944.88 = 5,188.96 : x
  2. Step 2: Convert to fraction form
    9,380.32/12,944.88 = 5,188.96/x
  3. Step 3: Cross multiply
    9,380.32x = 12,944.88 × 5,188.96
  4. Step 4: Simplify right side
    9,380.32x = 67,170,464.52
  5. Step 5: Solve for x
    x = 67,170,464.52/9,380.32
  6. Step 6: Final answer
    x = 7,160.79

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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.