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Finding the Fourth Proportional to 6,432.27, 9,647.42 and 2,482.97

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Solution

The fourth proportional to 6,432.27, 9,647.42 and 2,482.97 is: 3,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.27 : 9,647.42 = 2,482.97 : x
  2. Step 2: Convert to fraction form
    6,432.27/9,647.42 = 2,482.97/x
  3. Step 3: Cross multiply
    6,432.27x = 9,647.42 × 2,482.97
  4. Step 4: Simplify right side
    6,432.27x = 23,954,193.79
  5. Step 5: Solve for x
    x = 23,954,193.79/6,432.27
  6. Step 6: Final answer
    x = 3,724.07

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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.