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Finding the Fourth Proportional to 8,427.96, 12,639.36 and 3,232.56

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Solution

The fourth proportional to 8,427.96, 12,639.36 and 3,232.56 is: 4,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.96 : 12,639.36 = 3,232.56 : x
  2. Step 2: Convert to fraction form
    8,427.96/12,639.36 = 3,232.56/x
  3. Step 3: Cross multiply
    8,427.96x = 12,639.36 × 3,232.56
  4. Step 4: Simplify right side
    8,427.96x = 40,857,489.56
  5. Step 5: Solve for x
    x = 40,857,489.56/8,427.96
  6. Step 6: Final answer
    x = 4,847.85

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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.