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Finding the Fourth Proportional to 6,413.09, 9,618.42 and 2,252.12

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Solution

The fourth proportional to 6,413.09, 9,618.42 and 2,252.12 is: 3,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.09 : 9,618.42 = 2,252.12 : x
  2. Step 2: Convert to fraction form
    6,413.09/9,618.42 = 2,252.12/x
  3. Step 3: Cross multiply
    6,413.09x = 9,618.42 × 2,252.12
  4. Step 4: Simplify right side
    6,413.09x = 21,661,836.05
  5. Step 5: Solve for x
    x = 21,661,836.05/6,413.09
  6. Step 6: Final answer
    x = 3,377.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.