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Finding the Fourth Proportional to 9,604.97, 13,252.56 and 5,413.22

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Solution

The fourth proportional to 9,604.97, 13,252.56 and 5,413.22 is: 7,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.97 : 13,252.56 = 5,413.22 : x
  2. Step 2: Convert to fraction form
    9,604.97/13,252.56 = 5,413.22/x
  3. Step 3: Cross multiply
    9,604.97x = 13,252.56 × 5,413.22
  4. Step 4: Simplify right side
    9,604.97x = 71,739,022.84
  5. Step 5: Solve for x
    x = 71,739,022.84/9,604.97
  6. Step 6: Final answer
    x = 7,468.95

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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.