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Finding the Fourth Proportional to 6,466.20, 9,692.10 and 2,767.80

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Solution

The fourth proportional to 6,466.20, 9,692.10 and 2,767.80 is: 4,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.20 : 9,692.10 = 2,767.80 : x
  2. Step 2: Convert to fraction form
    6,466.20/9,692.10 = 2,767.80/x
  3. Step 3: Cross multiply
    6,466.20x = 9,692.10 × 2,767.80
  4. Step 4: Simplify right side
    6,466.20x = 26,825,794.38
  5. Step 5: Solve for x
    x = 26,825,794.38/6,466.20
  6. Step 6: Final answer
    x = 4,148.62

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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.