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Finding the Fourth Proportional to 9,982.28, 13,774.32 and 6,003.20

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Solution

The fourth proportional to 9,982.28, 13,774.32 and 6,003.20 is: 8,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.28 : 13,774.32 = 6,003.20 : x
  2. Step 2: Convert to fraction form
    9,982.28/13,774.32 = 6,003.20/x
  3. Step 3: Cross multiply
    9,982.28x = 13,774.32 × 6,003.20
  4. Step 4: Simplify right side
    9,982.28x = 82,689,997.82
  5. Step 5: Solve for x
    x = 82,689,997.82/9,982.28
  6. Step 6: Final answer
    x = 8,283.68

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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.