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Finding the Fourth Proportional to 8,692.14, 13,005.69 and 5,169.30

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Solution

The fourth proportional to 8,692.14, 13,005.69 and 5,169.30 is: 7,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.14 : 13,005.69 = 5,169.30 : x
  2. Step 2: Convert to fraction form
    8,692.14/13,005.69 = 5,169.30/x
  3. Step 3: Cross multiply
    8,692.14x = 13,005.69 × 5,169.30
  4. Step 4: Simplify right side
    8,692.14x = 67,230,313.32
  5. Step 5: Solve for x
    x = 67,230,313.32/8,692.14
  6. Step 6: Final answer
    x = 7,734.61

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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.