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Finding the Fourth Proportional to 6,344.36, 8,756.97 and 3,692.28

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Solution

The fourth proportional to 6,344.36, 8,756.97 and 3,692.28 is: 5,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.36 : 8,756.97 = 3,692.28 : x
  2. Step 2: Convert to fraction form
    6,344.36/8,756.97 = 3,692.28/x
  3. Step 3: Cross multiply
    6,344.36x = 8,756.97 × 3,692.28
  4. Step 4: Simplify right side
    6,344.36x = 32,333,141.41
  5. Step 5: Solve for x
    x = 32,333,141.41/6,344.36
  6. Step 6: Final answer
    x = 5,096.36

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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.