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Finding the Fourth Proportional to 9,544.86, 13,171.87 and 5,296.57

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Solution

The fourth proportional to 9,544.86, 13,171.87 and 5,296.57 is: 7,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.86 : 13,171.87 = 5,296.57 : x
  2. Step 2: Convert to fraction form
    9,544.86/13,171.87 = 5,296.57/x
  3. Step 3: Cross multiply
    9,544.86x = 13,171.87 × 5,296.57
  4. Step 4: Simplify right side
    9,544.86x = 69,765,685.31
  5. Step 5: Solve for x
    x = 69,765,685.31/9,544.86
  6. Step 6: Final answer
    x = 7,309.24

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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.