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Finding the Fourth Proportional to 6,692.74, 9,236.06 and 3,667.95

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Solution

The fourth proportional to 6,692.74, 9,236.06 and 3,667.95 is: 5,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.74 : 9,236.06 = 3,667.95 : x
  2. Step 2: Convert to fraction form
    6,692.74/9,236.06 = 3,667.95/x
  3. Step 3: Cross multiply
    6,692.74x = 9,236.06 × 3,667.95
  4. Step 4: Simplify right side
    6,692.74x = 33,877,422.32
  5. Step 5: Solve for x
    x = 33,877,422.32/6,692.74
  6. Step 6: Final answer
    x = 5,061.81

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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.