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Finding the Fourth Proportional to 6,413.33, 9,618.51 and 2,029.97

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Solution

The fourth proportional to 6,413.33, 9,618.51 and 2,029.97 is: 3,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.33 : 9,618.51 = 2,029.97 : x
  2. Step 2: Convert to fraction form
    6,413.33/9,618.51 = 2,029.97/x
  3. Step 3: Cross multiply
    6,413.33x = 9,618.51 × 2,029.97
  4. Step 4: Simplify right side
    6,413.33x = 19,525,286.74
  5. Step 5: Solve for x
    x = 19,525,286.74/6,413.33
  6. Step 6: Final answer
    x = 3,044.48

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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.