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Finding the Fourth Proportional to 6,413.40, 8,851.14 and 3,761.66

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Solution

The fourth proportional to 6,413.40, 8,851.14 and 3,761.66 is: 5,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.40 : 8,851.14 = 3,761.66 : x
  2. Step 2: Convert to fraction form
    6,413.40/8,851.14 = 3,761.66/x
  3. Step 3: Cross multiply
    6,413.40x = 8,851.14 × 3,761.66
  4. Step 4: Simplify right side
    6,413.40x = 33,295,001.42
  5. Step 5: Solve for x
    x = 33,295,001.42/6,413.40
  6. Step 6: Final answer
    x = 5,191.47

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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.