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Finding the Fourth Proportional to 6,413.94, 9,619.97 and 3,947.49

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Solution

The fourth proportional to 6,413.94, 9,619.97 and 3,947.49 is: 5,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.94 : 9,619.97 = 3,947.49 : x
  2. Step 2: Convert to fraction form
    6,413.94/9,619.97 = 3,947.49/x
  3. Step 3: Cross multiply
    6,413.94x = 9,619.97 × 3,947.49
  4. Step 4: Simplify right side
    6,413.94x = 37,974,715.64
  5. Step 5: Solve for x
    x = 37,974,715.64/6,413.94
  6. Step 6: Final answer
    x = 5,920.65

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