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Finding the Fourth Proportional to 9,744.13, 13,447.26 and 5,496.88

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Solution

The fourth proportional to 9,744.13, 13,447.26 and 5,496.88 is: 7,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.13 : 13,447.26 = 5,496.88 : x
  2. Step 2: Convert to fraction form
    9,744.13/13,447.26 = 5,496.88/x
  3. Step 3: Cross multiply
    9,744.13x = 13,447.26 × 5,496.88
  4. Step 4: Simplify right side
    9,744.13x = 73,917,974.55
  5. Step 5: Solve for x
    x = 73,917,974.55/9,744.13
  6. Step 6: Final answer
    x = 7,585.90

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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.