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Finding the Fourth Proportional to 6,833.20, 9,432.17 and 4,001.48

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Solution

The fourth proportional to 6,833.20, 9,432.17 and 4,001.48 is: 5,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.20 : 9,432.17 = 4,001.48 : x
  2. Step 2: Convert to fraction form
    6,833.20/9,432.17 = 4,001.48/x
  3. Step 3: Cross multiply
    6,833.20x = 9,432.17 × 4,001.48
  4. Step 4: Simplify right side
    6,833.20x = 37,742,639.61
  5. Step 5: Solve for x
    x = 37,742,639.61/6,833.20
  6. Step 6: Final answer
    x = 5,523.42

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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.