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Finding the Fourth Proportional to 9,544.71, 13,171.69 and 5,296.43

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Solution

The fourth proportional to 9,544.71, 13,171.69 and 5,296.43 is: 7,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.71 : 13,171.69 = 5,296.43 : x
  2. Step 2: Convert to fraction form
    9,544.71/13,171.69 = 5,296.43/x
  3. Step 3: Cross multiply
    9,544.71x = 13,171.69 × 5,296.43
  4. Step 4: Simplify right side
    9,544.71x = 69,762,887.90
  5. Step 5: Solve for x
    x = 69,762,887.90/9,544.71
  6. Step 6: Final answer
    x = 7,309.06

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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.