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Finding the Fourth Proportional to 8,092.14, 12,138.07 and 3,647.33

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Solution

The fourth proportional to 8,092.14, 12,138.07 and 3,647.33 is: 5,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.14 : 12,138.07 = 3,647.33 : x
  2. Step 2: Convert to fraction form
    8,092.14/12,138.07 = 3,647.33/x
  3. Step 3: Cross multiply
    8,092.14x = 12,138.07 × 3,647.33
  4. Step 4: Simplify right side
    8,092.14x = 44,271,546.85
  5. Step 5: Solve for x
    x = 44,271,546.85/8,092.14
  6. Step 6: Final answer
    x = 5,470.93

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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.