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Finding the Fourth Proportional to 6,467.28, 9,692.40 and 4,694.24

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Solution

The fourth proportional to 6,467.28, 9,692.40 and 4,694.24 is: 7,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.28 : 9,692.40 = 4,694.24 : x
  2. Step 2: Convert to fraction form
    6,467.28/9,692.40 = 4,694.24/x
  3. Step 3: Cross multiply
    6,467.28x = 9,692.40 × 4,694.24
  4. Step 4: Simplify right side
    6,467.28x = 45,498,451.78
  5. Step 5: Solve for x
    x = 45,498,451.78/6,467.28
  6. Step 6: Final answer
    x = 7,035.18

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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.