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Finding the Fourth Proportional to 8,191.26, 12,274.44 and 6,001.44

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Solution

The fourth proportional to 8,191.26, 12,274.44 and 6,001.44 is: 8,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.26 : 12,274.44 = 6,001.44 : x
  2. Step 2: Convert to fraction form
    8,191.26/12,274.44 = 6,001.44/x
  3. Step 3: Cross multiply
    8,191.26x = 12,274.44 × 6,001.44
  4. Step 4: Simplify right side
    8,191.26x = 73,664,315.19
  5. Step 5: Solve for x
    x = 73,664,315.19/8,191.26
  6. Step 6: Final answer
    x = 8,993.04

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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.