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Finding the Fourth Proportional to 6,471.30, 9,692.37 and 3,868.78

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Solution

The fourth proportional to 6,471.30, 9,692.37 and 3,868.78 is: 5,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.30 : 9,692.37 = 3,868.78 : x
  2. Step 2: Convert to fraction form
    6,471.30/9,692.37 = 3,868.78/x
  3. Step 3: Cross multiply
    6,471.30x = 9,692.37 × 3,868.78
  4. Step 4: Simplify right side
    6,471.30x = 37,497,647.21
  5. Step 5: Solve for x
    x = 37,497,647.21/6,471.30
  6. Step 6: Final answer
    x = 5,794.45

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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.