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Finding the Fourth Proportional to 6,676.32, 9,212.91 and 3,692.10

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Solution

The fourth proportional to 6,676.32, 9,212.91 and 3,692.10 is: 5,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.32 : 9,212.91 = 3,692.10 : x
  2. Step 2: Convert to fraction form
    6,676.32/9,212.91 = 3,692.10/x
  3. Step 3: Cross multiply
    6,676.32x = 9,212.91 × 3,692.10
  4. Step 4: Simplify right side
    6,676.32x = 34,014,985.01
  5. Step 5: Solve for x
    x = 34,014,985.01/6,676.32
  6. Step 6: Final answer
    x = 5,094.87

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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.