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Finding the Fourth Proportional to 8,122.97, 12,172.15 and 6,033.21

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Solution

The fourth proportional to 8,122.97, 12,172.15 and 6,033.21 is: 9,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.97 : 12,172.15 = 6,033.21 : x
  2. Step 2: Convert to fraction form
    8,122.97/12,172.15 = 6,033.21/x
  3. Step 3: Cross multiply
    8,122.97x = 12,172.15 × 6,033.21
  4. Step 4: Simplify right side
    8,122.97x = 73,437,137.10
  5. Step 5: Solve for x
    x = 73,437,137.10/8,122.97
  6. Step 6: Final answer
    x = 9,040.68

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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.