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Finding the Fourth Proportional to 8,201.18, 12,292.14 and 3,809.38

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Solution

The fourth proportional to 8,201.18, 12,292.14 and 3,809.38 is: 5,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.18 : 12,292.14 = 3,809.38 : x
  2. Step 2: Convert to fraction form
    8,201.18/12,292.14 = 3,809.38/x
  3. Step 3: Cross multiply
    8,201.18x = 12,292.14 × 3,809.38
  4. Step 4: Simplify right side
    8,201.18x = 46,825,432.27
  5. Step 5: Solve for x
    x = 46,825,432.27/8,201.18
  6. Step 6: Final answer
    x = 5,709.60

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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.