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Finding the Fourth Proportional to 9,722.97, 13,413.71 and 7,211.27

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Solution

The fourth proportional to 9,722.97, 13,413.71 and 7,211.27 is: 9,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.97 : 13,413.71 = 7,211.27 : x
  2. Step 2: Convert to fraction form
    9,722.97/13,413.71 = 7,211.27/x
  3. Step 3: Cross multiply
    9,722.97x = 13,413.71 × 7,211.27
  4. Step 4: Simplify right side
    9,722.97x = 96,729,835.47
  5. Step 5: Solve for x
    x = 96,729,835.47/9,722.97
  6. Step 6: Final answer
    x = 9,948.59

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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.