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Finding the Fourth Proportional to 9,517.42, 13,138.97 and 5,933.44

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Solution

The fourth proportional to 9,517.42, 13,138.97 and 5,933.44 is: 8,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.42 : 13,138.97 = 5,933.44 : x
  2. Step 2: Convert to fraction form
    9,517.42/13,138.97 = 5,933.44/x
  3. Step 3: Cross multiply
    9,517.42x = 13,138.97 × 5,933.44
  4. Step 4: Simplify right side
    9,517.42x = 77,959,290.16
  5. Step 5: Solve for x
    x = 77,959,290.16/9,517.42
  6. Step 6: Final answer
    x = 8,191.22

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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.