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Finding the Fourth Proportional to 7,067.64, 9,755.24 and 4,413.44

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Solution

The fourth proportional to 7,067.64, 9,755.24 and 4,413.44 is: 6,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.64 : 9,755.24 = 4,413.44 : x
  2. Step 2: Convert to fraction form
    7,067.64/9,755.24 = 4,413.44/x
  3. Step 3: Cross multiply
    7,067.64x = 9,755.24 × 4,413.44
  4. Step 4: Simplify right side
    7,067.64x = 43,054,166.43
  5. Step 5: Solve for x
    x = 43,054,166.43/7,067.64
  6. Step 6: Final answer
    x = 6,091.73

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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.