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Finding the Fourth Proportional to 8,431.42, 12,648.72 and 3,236.90

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Solution

The fourth proportional to 8,431.42, 12,648.72 and 3,236.90 is: 4,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.42 : 12,648.72 = 3,236.90 : x
  2. Step 2: Convert to fraction form
    8,431.42/12,648.72 = 3,236.90/x
  3. Step 3: Cross multiply
    8,431.42x = 12,648.72 × 3,236.90
  4. Step 4: Simplify right side
    8,431.42x = 40,942,641.77
  5. Step 5: Solve for x
    x = 40,942,641.77/8,431.42
  6. Step 6: Final answer
    x = 4,855.96

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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.