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Finding the Fourth Proportional to 9,847.60, 13,591.12 and 6,489.84

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Solution

The fourth proportional to 9,847.60, 13,591.12 and 6,489.84 is: 8,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.60 : 13,591.12 = 6,489.84 : x
  2. Step 2: Convert to fraction form
    9,847.60/13,591.12 = 6,489.84/x
  3. Step 3: Cross multiply
    9,847.60x = 13,591.12 × 6,489.84
  4. Step 4: Simplify right side
    9,847.60x = 88,204,194.22
  5. Step 5: Solve for x
    x = 88,204,194.22/9,847.60
  6. Step 6: Final answer
    x = 8,956.92

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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.