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Finding the Fourth Proportional to 9,863.40, 13,611.18 and 5,882.46

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Solution

The fourth proportional to 9,863.40, 13,611.18 and 5,882.46 is: 8,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.40 : 13,611.18 = 5,882.46 : x
  2. Step 2: Convert to fraction form
    9,863.40/13,611.18 = 5,882.46/x
  3. Step 3: Cross multiply
    9,863.40x = 13,611.18 × 5,882.46
  4. Step 4: Simplify right side
    9,863.40x = 80,067,221.90
  5. Step 5: Solve for x
    x = 80,067,221.90/9,863.40
  6. Step 6: Final answer
    x = 8,117.61

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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.