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Finding the Fourth Proportional to 9,744.37, 13,447.17 and 5,268.13

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Solution

The fourth proportional to 9,744.37, 13,447.17 and 5,268.13 is: 7,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.37 : 13,447.17 = 5,268.13 : x
  2. Step 2: Convert to fraction form
    9,744.37/13,447.17 = 5,268.13/x
  3. Step 3: Cross multiply
    9,744.37x = 13,447.17 × 5,268.13
  4. Step 4: Simplify right side
    9,744.37x = 70,841,439.69
  5. Step 5: Solve for x
    x = 70,841,439.69/9,744.37
  6. Step 6: Final answer
    x = 7,269.99

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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.