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Finding the Fourth Proportional to 6,092.19, 9,132.78 and 3,172.53

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Solution

The fourth proportional to 6,092.19, 9,132.78 and 3,172.53 is: 4,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.19 : 9,132.78 = 3,172.53 : x
  2. Step 2: Convert to fraction form
    6,092.19/9,132.78 = 3,172.53/x
  3. Step 3: Cross multiply
    6,092.19x = 9,132.78 × 3,172.53
  4. Step 4: Simplify right side
    6,092.19x = 28,974,018.53
  5. Step 5: Solve for x
    x = 28,974,018.53/6,092.19
  6. Step 6: Final answer
    x = 4,755.93

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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.