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Finding the Fourth Proportional to 6,677.00, 9,213.16 and 3,692.25

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Solution

The fourth proportional to 6,677.00, 9,213.16 and 3,692.25 is: 5,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.00 : 9,213.16 = 3,692.25 : x
  2. Step 2: Convert to fraction form
    6,677.00/9,213.16 = 3,692.25/x
  3. Step 3: Cross multiply
    6,677.00x = 9,213.16 × 3,692.25
  4. Step 4: Simplify right side
    6,677.00x = 34,017,287.70
  5. Step 5: Solve for x
    x = 34,017,287.70/6,677.00
  6. Step 6: Final answer
    x = 5,094.70

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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.