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Finding the Fourth Proportional to 8,431.92, 12,647.88 and 2,191.41

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Solution

The fourth proportional to 8,431.92, 12,647.88 and 2,191.41 is: 3,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.92 : 12,647.88 = 2,191.41 : x
  2. Step 2: Convert to fraction form
    8,431.92/12,647.88 = 2,191.41/x
  3. Step 3: Cross multiply
    8,431.92x = 12,647.88 × 2,191.41
  4. Step 4: Simplify right side
    8,431.92x = 27,716,690.71
  5. Step 5: Solve for x
    x = 27,716,690.71/8,431.92
  6. Step 6: Final answer
    x = 3,287.12

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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.