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Finding the Fourth Proportional to 9,744.39, 13,447.08 and 5,966.96

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Solution

The fourth proportional to 9,744.39, 13,447.08 and 5,966.96 is: 8,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.39 : 13,447.08 = 5,966.96 : x
  2. Step 2: Convert to fraction form
    9,744.39/13,447.08 = 5,966.96/x
  3. Step 3: Cross multiply
    9,744.39x = 13,447.08 × 5,966.96
  4. Step 4: Simplify right side
    9,744.39x = 80,238,121.24
  5. Step 5: Solve for x
    x = 80,238,121.24/9,744.39
  6. Step 6: Final answer
    x = 8,234.29

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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.