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Finding the Fourth Proportional to 9,659.43, 13,331.13 and 5,884.80

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Solution

The fourth proportional to 9,659.43, 13,331.13 and 5,884.80 is: 8,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.43 : 13,331.13 = 5,884.80 : x
  2. Step 2: Convert to fraction form
    9,659.43/13,331.13 = 5,884.80/x
  3. Step 3: Cross multiply
    9,659.43x = 13,331.13 × 5,884.80
  4. Step 4: Simplify right side
    9,659.43x = 78,451,033.82
  5. Step 5: Solve for x
    x = 78,451,033.82/9,659.43
  6. Step 6: Final answer
    x = 8,121.70

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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.