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Finding the Fourth Proportional to 6,532.20, 9,007.02 and 5,902.56

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Solution

The fourth proportional to 6,532.20, 9,007.02 and 5,902.56 is: 8,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.20 : 9,007.02 = 5,902.56 : x
  2. Step 2: Convert to fraction form
    6,532.20/9,007.02 = 5,902.56/x
  3. Step 3: Cross multiply
    6,532.20x = 9,007.02 × 5,902.56
  4. Step 4: Simplify right side
    6,532.20x = 53,164,475.97
  5. Step 5: Solve for x
    x = 53,164,475.97/6,532.20
  6. Step 6: Final answer
    x = 8,138.83

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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.