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Finding the Fourth Proportional to 9,692.11, 14,560.04 and 8,379.91

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Solution

The fourth proportional to 9,692.11, 14,560.04 and 8,379.91 is: 12,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.11 : 14,560.04 = 8,379.91 : x
  2. Step 2: Convert to fraction form
    9,692.11/14,560.04 = 8,379.91/x
  3. Step 3: Cross multiply
    9,692.11x = 14,560.04 × 8,379.91
  4. Step 4: Simplify right side
    9,692.11x = 122,011,824.80
  5. Step 5: Solve for x
    x = 122,011,824.80/9,692.11
  6. Step 6: Final answer
    x = 12,588.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.