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Finding the Fourth Proportional to 6,708.59, 9,258.92 and 6,413.27

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Solution

The fourth proportional to 6,708.59, 9,258.92 and 6,413.27 is: 8,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.59 : 9,258.92 = 6,413.27 : x
  2. Step 2: Convert to fraction form
    6,708.59/9,258.92 = 6,413.27/x
  3. Step 3: Cross multiply
    6,708.59x = 9,258.92 × 6,413.27
  4. Step 4: Simplify right side
    6,708.59x = 59,379,921.80
  5. Step 5: Solve for x
    x = 59,379,921.80/6,708.59
  6. Step 6: Final answer
    x = 8,851.33

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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.