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Finding the Fourth Proportional to 8,191.17, 12,281.54 and 3,809.97

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Solution

The fourth proportional to 8,191.17, 12,281.54 and 3,809.97 is: 5,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.17 : 12,281.54 = 3,809.97 : x
  2. Step 2: Convert to fraction form
    8,191.17/12,281.54 = 3,809.97/x
  3. Step 3: Cross multiply
    8,191.17x = 12,281.54 × 3,809.97
  4. Step 4: Simplify right side
    8,191.17x = 46,792,279.90
  5. Step 5: Solve for x
    x = 46,792,279.90/8,191.17
  6. Step 6: Final answer
    x = 5,712.53

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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.