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Finding the Fourth Proportional to 9,692.35, 13,375.53 and 5,662

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Solution

The fourth proportional to 9,692.35, 13,375.53 and 5,662 is: 7,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.35 : 13,375.53 = 5,662 : x
  2. Step 2: Convert to fraction form
    9,692.35/13,375.53 = 5,662/x
  3. Step 3: Cross multiply
    9,692.35x = 13,375.53 × 5,662
  4. Step 4: Simplify right side
    9,692.35x = 75,732,250.86
  5. Step 5: Solve for x
    x = 75,732,250.86/9,692.35
  6. Step 6: Final answer
    x = 7,813.61

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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.