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Finding the Fourth Proportional to 6,451.44, 9,677.16 and 3,496.56

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Solution

The fourth proportional to 6,451.44, 9,677.16 and 3,496.56 is: 5,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.44 : 9,677.16 = 3,496.56 : x
  2. Step 2: Convert to fraction form
    6,451.44/9,677.16 = 3,496.56/x
  3. Step 3: Cross multiply
    6,451.44x = 9,677.16 × 3,496.56
  4. Step 4: Simplify right side
    6,451.44x = 33,836,770.57
  5. Step 5: Solve for x
    x = 33,836,770.57/6,451.44
  6. Step 6: Final answer
    x = 5,244.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.