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Finding the Fourth Proportional to 8,692.38, 13,038.57 and 3,144.44

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Solution

The fourth proportional to 8,692.38, 13,038.57 and 3,144.44 is: 4,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.38 : 13,038.57 = 3,144.44 : x
  2. Step 2: Convert to fraction form
    8,692.38/13,038.57 = 3,144.44/x
  3. Step 3: Cross multiply
    8,692.38x = 13,038.57 × 3,144.44
  4. Step 4: Simplify right side
    8,692.38x = 40,998,935.86
  5. Step 5: Solve for x
    x = 40,998,935.86/8,692.38
  6. Step 6: Final answer
    x = 4,716.65

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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.