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Finding the Fourth Proportional to 6,172.97, 9,255.33 and 3,400.95

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Solution

The fourth proportional to 6,172.97, 9,255.33 and 3,400.95 is: 5,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.97 : 9,255.33 = 3,400.95 : x
  2. Step 2: Convert to fraction form
    6,172.97/9,255.33 = 3,400.95/x
  3. Step 3: Cross multiply
    6,172.97x = 9,255.33 × 3,400.95
  4. Step 4: Simplify right side
    6,172.97x = 31,476,914.56
  5. Step 5: Solve for x
    x = 31,476,914.56/6,172.97
  6. Step 6: Final answer
    x = 5,099.16

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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.