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Finding the Fourth Proportional to 8,431.44, 12,648.78 and 3,236.92

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Solution

The fourth proportional to 8,431.44, 12,648.78 and 3,236.92 is: 4,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.44 : 12,648.78 = 3,236.92 : x
  2. Step 2: Convert to fraction form
    8,431.44/12,648.78 = 3,236.92/x
  3. Step 3: Cross multiply
    8,431.44x = 12,648.78 × 3,236.92
  4. Step 4: Simplify right side
    8,431.44x = 40,943,088.96
  5. Step 5: Solve for x
    x = 40,943,088.96/8,431.44
  6. Step 6: Final answer
    x = 4,856.00

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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.