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Finding the Fourth Proportional to 6,692.96, 9,237.44 and 3,859.82

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Solution

The fourth proportional to 6,692.96, 9,237.44 and 3,859.82 is: 5,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.96 : 9,237.44 = 3,859.82 : x
  2. Step 2: Convert to fraction form
    6,692.96/9,237.44 = 3,859.82/x
  3. Step 3: Cross multiply
    6,692.96x = 9,237.44 × 3,859.82
  4. Step 4: Simplify right side
    6,692.96x = 35,654,855.66
  5. Step 5: Solve for x
    x = 35,654,855.66/6,692.96
  6. Step 6: Final answer
    x = 5,327.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.