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Finding the Fourth Proportional to 9,982.28, 13,675.71 and 9,608.42

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Solution

The fourth proportional to 9,982.28, 13,675.71 and 9,608.42 is: 13,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.28 : 13,675.71 = 9,608.42 : x
  2. Step 2: Convert to fraction form
    9,982.28/13,675.71 = 9,608.42/x
  3. Step 3: Cross multiply
    9,982.28x = 13,675.71 × 9,608.42
  4. Step 4: Simplify right side
    9,982.28x = 131,401,917.44
  5. Step 5: Solve for x
    x = 131,401,917.44/9,982.28
  6. Step 6: Final answer
    x = 13,163.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.