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Finding the Fourth Proportional to 6,677.44, 9,217.56 and 4,027.12

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Solution

The fourth proportional to 6,677.44, 9,217.56 and 4,027.12 is: 5,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.44 : 9,217.56 = 4,027.12 : x
  2. Step 2: Convert to fraction form
    6,677.44/9,217.56 = 4,027.12/x
  3. Step 3: Cross multiply
    6,677.44x = 9,217.56 × 4,027.12
  4. Step 4: Simplify right side
    6,677.44x = 37,120,220.23
  5. Step 5: Solve for x
    x = 37,120,220.23/6,677.44
  6. Step 6: Final answer
    x = 5,559.05

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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.