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Finding the Fourth Proportional to 9,760.92, 14,642.28 and 3,519.96

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Solution

The fourth proportional to 9,760.92, 14,642.28 and 3,519.96 is: 5,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.92 : 14,642.28 = 3,519.96 : x
  2. Step 2: Convert to fraction form
    9,760.92/14,642.28 = 3,519.96/x
  3. Step 3: Cross multiply
    9,760.92x = 14,642.28 × 3,519.96
  4. Step 4: Simplify right side
    9,760.92x = 51,540,239.91
  5. Step 5: Solve for x
    x = 51,540,239.91/9,760.92
  6. Step 6: Final answer
    x = 5,280.26

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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.