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Finding the Fourth Proportional to 8,291.34, 12,436.98 and 3,906.42

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Solution

The fourth proportional to 8,291.34, 12,436.98 and 3,906.42 is: 5,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.34 : 12,436.98 = 3,906.42 : x
  2. Step 2: Convert to fraction form
    8,291.34/12,436.98 = 3,906.42/x
  3. Step 3: Cross multiply
    8,291.34x = 12,436.98 × 3,906.42
  4. Step 4: Simplify right side
    8,291.34x = 48,584,067.41
  5. Step 5: Solve for x
    x = 48,584,067.41/8,291.34
  6. Step 6: Final answer
    x = 5,859.62

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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.