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Finding the Fourth Proportional to 8,996.67, 12,414.87 and 5,219.54

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Solution

The fourth proportional to 8,996.67, 12,414.87 and 5,219.54 is: 7,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.67 : 12,414.87 = 5,219.54 : x
  2. Step 2: Convert to fraction form
    8,996.67/12,414.87 = 5,219.54/x
  3. Step 3: Cross multiply
    8,996.67x = 12,414.87 × 5,219.54
  4. Step 4: Simplify right side
    8,996.67x = 64,799,895.04
  5. Step 5: Solve for x
    x = 64,799,895.04/8,996.67
  6. Step 6: Final answer
    x = 7,202.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.