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Finding the Fourth Proportional to 6,209.82, 8,571.24 and 3,692.88

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Solution

The fourth proportional to 6,209.82, 8,571.24 and 3,692.88 is: 5,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.82 : 8,571.24 = 3,692.88 : x
  2. Step 2: Convert to fraction form
    6,209.82/8,571.24 = 3,692.88/x
  3. Step 3: Cross multiply
    6,209.82x = 8,571.24 × 3,692.88
  4. Step 4: Simplify right side
    6,209.82x = 31,652,560.77
  5. Step 5: Solve for x
    x = 31,652,560.77/6,209.82
  6. Step 6: Final answer
    x = 5,097.18

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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.