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Finding the Fourth Proportional to 6,076.26, 9,096.05 and 3,992.33

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Solution

The fourth proportional to 6,076.26, 9,096.05 and 3,992.33 is: 5,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.26 : 9,096.05 = 3,992.33 : x
  2. Step 2: Convert to fraction form
    6,076.26/9,096.05 = 3,992.33/x
  3. Step 3: Cross multiply
    6,076.26x = 9,096.05 × 3,992.33
  4. Step 4: Simplify right side
    6,076.26x = 36,314,367.85
  5. Step 5: Solve for x
    x = 36,314,367.85/6,076.26
  6. Step 6: Final answer
    x = 5,976.43

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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.