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Finding the Fourth Proportional to 9,662.92, 14,496.20 and 3,660.79

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Solution

The fourth proportional to 9,662.92, 14,496.20 and 3,660.79 is: 5,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.92 : 14,496.20 = 3,660.79 : x
  2. Step 2: Convert to fraction form
    9,662.92/14,496.20 = 3,660.79/x
  3. Step 3: Cross multiply
    9,662.92x = 14,496.20 × 3,660.79
  4. Step 4: Simplify right side
    9,662.92x = 53,067,453.21
  5. Step 5: Solve for x
    x = 53,067,453.21/9,662.92
  6. Step 6: Final answer
    x = 5,491.87

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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.