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Finding the Fourth Proportional to 6,415.48, 9,620.94 and 3,942.85

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Solution

The fourth proportional to 6,415.48, 9,620.94 and 3,942.85 is: 5,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.48 : 9,620.94 = 3,942.85 : x
  2. Step 2: Convert to fraction form
    6,415.48/9,620.94 = 3,942.85/x
  3. Step 3: Cross multiply
    6,415.48x = 9,620.94 × 3,942.85
  4. Step 4: Simplify right side
    6,415.48x = 37,933,923.28
  5. Step 5: Solve for x
    x = 37,933,923.28/6,415.48
  6. Step 6: Final answer
    x = 5,912.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.