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Finding the Fourth Proportional to 9,744.43, 13,444.12 and 5,963.65

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Solution

The fourth proportional to 9,744.43, 13,444.12 and 5,963.65 is: 8,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.43 : 13,444.12 = 5,963.65 : x
  2. Step 2: Convert to fraction form
    9,744.43/13,444.12 = 5,963.65/x
  3. Step 3: Cross multiply
    9,744.43x = 13,444.12 × 5,963.65
  4. Step 4: Simplify right side
    9,744.43x = 80,176,026.24
  5. Step 5: Solve for x
    x = 80,176,026.24/9,744.43
  6. Step 6: Final answer
    x = 8,227.88

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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.