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Finding the Fourth Proportional to 6,323.42, 8,724.56 and 3,932.78

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Solution

The fourth proportional to 6,323.42, 8,724.56 and 3,932.78 is: 5,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.42 : 8,724.56 = 3,932.78 : x
  2. Step 2: Convert to fraction form
    6,323.42/8,724.56 = 3,932.78/x
  3. Step 3: Cross multiply
    6,323.42x = 8,724.56 × 3,932.78
  4. Step 4: Simplify right side
    6,323.42x = 34,311,711.79
  5. Step 5: Solve for x
    x = 34,311,711.79/6,323.42
  6. Step 6: Final answer
    x = 5,426.14

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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.