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Finding the Fourth Proportional to 9,744.24, 13,443.86 and 5,963.46

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Solution

The fourth proportional to 9,744.24, 13,443.86 and 5,963.46 is: 8,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.24 : 13,443.86 = 5,963.46 : x
  2. Step 2: Convert to fraction form
    9,744.24/13,443.86 = 5,963.46/x
  3. Step 3: Cross multiply
    9,744.24x = 13,443.86 × 5,963.46
  4. Step 4: Simplify right side
    9,744.24x = 80,171,921.36
  5. Step 5: Solve for x
    x = 80,171,921.36/9,744.24
  6. Step 6: Final answer
    x = 8,227.62

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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.