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Finding the Fourth Proportional to 9,639.92, 14,419.89 and 9,049.43

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Solution

The fourth proportional to 9,639.92, 14,419.89 and 9,049.43 is: 13,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.92 : 14,419.89 = 9,049.43 : x
  2. Step 2: Convert to fraction form
    9,639.92/14,419.89 = 9,049.43/x
  3. Step 3: Cross multiply
    9,639.92x = 14,419.89 × 9,049.43
  4. Step 4: Simplify right side
    9,639.92x = 130,491,785.16
  5. Step 5: Solve for x
    x = 130,491,785.16/9,639.92
  6. Step 6: Final answer
    x = 13,536.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.