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Finding the Fourth Proportional to 6,413.96, 8,851.30 and 3,761.42

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Solution

The fourth proportional to 6,413.96, 8,851.30 and 3,761.42 is: 5,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.96 : 8,851.30 = 3,761.42 : x
  2. Step 2: Convert to fraction form
    6,413.96/8,851.30 = 3,761.42/x
  3. Step 3: Cross multiply
    6,413.96x = 8,851.30 × 3,761.42
  4. Step 4: Simplify right side
    6,413.96x = 33,293,456.85
  5. Step 5: Solve for x
    x = 33,293,456.85/6,413.96
  6. Step 6: Final answer
    x = 5,190.78

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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.