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Finding the Fourth Proportional to 6,675.92, 9,202.16 and 5,257.36

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Solution

The fourth proportional to 6,675.92, 9,202.16 and 5,257.36 is: 7,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.92 : 9,202.16 = 5,257.36 : x
  2. Step 2: Convert to fraction form
    6,675.92/9,202.16 = 5,257.36/x
  3. Step 3: Cross multiply
    6,675.92x = 9,202.16 × 5,257.36
  4. Step 4: Simplify right side
    6,675.92x = 48,379,067.90
  5. Step 5: Solve for x
    x = 48,379,067.90/6,675.92
  6. Step 6: Final answer
    x = 7,246.80

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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.