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Finding the Fourth Proportional to 6,786.92, 9,364.17 and 3,914.94

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Solution

The fourth proportional to 6,786.92, 9,364.17 and 3,914.94 is: 5,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.92 : 9,364.17 = 3,914.94 : x
  2. Step 2: Convert to fraction form
    6,786.92/9,364.17 = 3,914.94/x
  3. Step 3: Cross multiply
    6,786.92x = 9,364.17 × 3,914.94
  4. Step 4: Simplify right side
    6,786.92x = 36,660,163.70
  5. Step 5: Solve for x
    x = 36,660,163.70/6,786.92
  6. Step 6: Final answer
    x = 5,401.59

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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.