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Finding the Fourth Proportional to 6,676.38, 9,213.33 and 3,692.28

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Solution

The fourth proportional to 6,676.38, 9,213.33 and 3,692.28 is: 5,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.38 : 9,213.33 = 3,692.28 : x
  2. Step 2: Convert to fraction form
    6,676.38/9,213.33 = 3,692.28/x
  3. Step 3: Cross multiply
    6,676.38x = 9,213.33 × 3,692.28
  4. Step 4: Simplify right side
    6,676.38x = 34,018,194.09
  5. Step 5: Solve for x
    x = 34,018,194.09/6,676.38
  6. Step 6: Final answer
    x = 5,095.31

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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.