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Finding the Fourth Proportional to 8,009.34, 12,013.94 and 2,744.30

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Solution

The fourth proportional to 8,009.34, 12,013.94 and 2,744.30 is: 4,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.34 : 12,013.94 = 2,744.30 : x
  2. Step 2: Convert to fraction form
    8,009.34/12,013.94 = 2,744.30/x
  3. Step 3: Cross multiply
    8,009.34x = 12,013.94 × 2,744.30
  4. Step 4: Simplify right side
    8,009.34x = 32,969,781.75
  5. Step 5: Solve for x
    x = 32,969,781.75/8,009.34
  6. Step 6: Final answer
    x = 4,116.42

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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.