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Finding the Fourth Proportional to 6,112.31, 9,183.14 and 3,925.31

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Solution

The fourth proportional to 6,112.31, 9,183.14 and 3,925.31 is: 5,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.31 : 9,183.14 = 3,925.31 : x
  2. Step 2: Convert to fraction form
    6,112.31/9,183.14 = 3,925.31/x
  3. Step 3: Cross multiply
    6,112.31x = 9,183.14 × 3,925.31
  4. Step 4: Simplify right side
    6,112.31x = 36,046,605.73
  5. Step 5: Solve for x
    x = 36,046,605.73/6,112.31
  6. Step 6: Final answer
    x = 5,897.38

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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.