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Finding the Fourth Proportional to 9,996.74, 13,797.29 and 5,963.82

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Solution

The fourth proportional to 9,996.74, 13,797.29 and 5,963.82 is: 8,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.74 : 13,797.29 = 5,963.82 : x
  2. Step 2: Convert to fraction form
    9,996.74/13,797.29 = 5,963.82/x
  3. Step 3: Cross multiply
    9,996.74x = 13,797.29 × 5,963.82
  4. Step 4: Simplify right side
    9,996.74x = 82,284,568.96
  5. Step 5: Solve for x
    x = 82,284,568.96/9,996.74
  6. Step 6: Final answer
    x = 8,231.14

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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.