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Finding the Fourth Proportional to 8,134.26, 12,193.14 and 3,201.96

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Solution

The fourth proportional to 8,134.26, 12,193.14 and 3,201.96 is: 4,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.26 : 12,193.14 = 3,201.96 : x
  2. Step 2: Convert to fraction form
    8,134.26/12,193.14 = 3,201.96/x
  3. Step 3: Cross multiply
    8,134.26x = 12,193.14 × 3,201.96
  4. Step 4: Simplify right side
    8,134.26x = 39,041,946.55
  5. Step 5: Solve for x
    x = 39,041,946.55/8,134.26
  6. Step 6: Final answer
    x = 4,799.69

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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.