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Finding the Fourth Proportional to 6,413.22, 8,850.06 and 3,760.47

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Solution

The fourth proportional to 6,413.22, 8,850.06 and 3,760.47 is: 5,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.22 : 8,850.06 = 3,760.47 : x
  2. Step 2: Convert to fraction form
    6,413.22/8,850.06 = 3,760.47/x
  3. Step 3: Cross multiply
    6,413.22x = 8,850.06 × 3,760.47
  4. Step 4: Simplify right side
    6,413.22x = 33,280,385.13
  5. Step 5: Solve for x
    x = 33,280,385.13/6,413.22
  6. Step 6: Final answer
    x = 5,189.34

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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.