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Finding the Fourth Proportional to 9,959.86, 13,745.40 and 5,711.31

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Solution

The fourth proportional to 9,959.86, 13,745.40 and 5,711.31 is: 7,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.86 : 13,745.40 = 5,711.31 : x
  2. Step 2: Convert to fraction form
    9,959.86/13,745.40 = 5,711.31/x
  3. Step 3: Cross multiply
    9,959.86x = 13,745.40 × 5,711.31
  4. Step 4: Simplify right side
    9,959.86x = 78,504,240.47
  5. Step 5: Solve for x
    x = 78,504,240.47/9,959.86
  6. Step 6: Final answer
    x = 7,882.06

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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.