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Finding the Fourth Proportional to 6,413.78, 9,616.52 and 4,215.84

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Solution

The fourth proportional to 6,413.78, 9,616.52 and 4,215.84 is: 6,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.78 : 9,616.52 = 4,215.84 : x
  2. Step 2: Convert to fraction form
    6,413.78/9,616.52 = 4,215.84/x
  3. Step 3: Cross multiply
    6,413.78x = 9,616.52 × 4,215.84
  4. Step 4: Simplify right side
    6,413.78x = 40,541,688.60
  5. Step 5: Solve for x
    x = 40,541,688.60/6,413.78
  6. Step 6: Final answer
    x = 6,321.03

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