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Finding the Fourth Proportional to 9,982.20, 13,771.02 and 6,001.02

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Solution

The fourth proportional to 9,982.20, 13,771.02 and 6,001.02 is: 8,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.20 : 13,771.02 = 6,001.02 : x
  2. Step 2: Convert to fraction form
    9,982.20/13,771.02 = 6,001.02/x
  3. Step 3: Cross multiply
    9,982.20x = 13,771.02 × 6,001.02
  4. Step 4: Simplify right side
    9,982.20x = 82,640,166.44
  5. Step 5: Solve for x
    x = 82,640,166.44/9,982.20
  6. Step 6: Final answer
    x = 8,278.75

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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.