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Finding the Fourth Proportional to 9,744.49, 13,444.21 and 5,963.72

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Solution

The fourth proportional to 9,744.49, 13,444.21 and 5,963.72 is: 8,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.49 : 13,444.21 = 5,963.72 : x
  2. Step 2: Convert to fraction form
    9,744.49/13,444.21 = 5,963.72/x
  3. Step 3: Cross multiply
    9,744.49x = 13,444.21 × 5,963.72
  4. Step 4: Simplify right side
    9,744.49x = 80,177,504.06
  5. Step 5: Solve for x
    x = 80,177,504.06/9,744.49
  6. Step 6: Final answer
    x = 8,227.98

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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.