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Finding the Fourth Proportional to 9,282.60, 13,902.28 and 5,576.64

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Solution

The fourth proportional to 9,282.60, 13,902.28 and 5,576.64 is: 8,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.60 : 13,902.28 = 5,576.64 : x
  2. Step 2: Convert to fraction form
    9,282.60/13,902.28 = 5,576.64/x
  3. Step 3: Cross multiply
    9,282.60x = 13,902.28 × 5,576.64
  4. Step 4: Simplify right side
    9,282.60x = 77,527,982.86
  5. Step 5: Solve for x
    x = 77,527,982.86/9,282.60
  6. Step 6: Final answer
    x = 8,351.97

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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.