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Finding the Fourth Proportional to 9,711.37, 13,402.73 and 5,936.75

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Solution

The fourth proportional to 9,711.37, 13,402.73 and 5,936.75 is: 8,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.37 : 13,402.73 = 5,936.75 : x
  2. Step 2: Convert to fraction form
    9,711.37/13,402.73 = 5,936.75/x
  3. Step 3: Cross multiply
    9,711.37x = 13,402.73 × 5,936.75
  4. Step 4: Simplify right side
    9,711.37x = 79,568,657.33
  5. Step 5: Solve for x
    x = 79,568,657.33/9,711.37
  6. Step 6: Final answer
    x = 8,193.35

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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.