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Finding the Fourth Proportional to 9,086.26, 12,539.84 and 5,108.34

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Solution

The fourth proportional to 9,086.26, 12,539.84 and 5,108.34 is: 7,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.26 : 12,539.84 = 5,108.34 : x
  2. Step 2: Convert to fraction form
    9,086.26/12,539.84 = 5,108.34/x
  3. Step 3: Cross multiply
    9,086.26x = 12,539.84 × 5,108.34
  4. Step 4: Simplify right side
    9,086.26x = 64,057,766.27
  5. Step 5: Solve for x
    x = 64,057,766.27/9,086.26
  6. Step 6: Final answer
    x = 7,049.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.