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Finding the Fourth Proportional to 6,413.33, 8,849.52 and 3,895.97

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Solution

The fourth proportional to 6,413.33, 8,849.52 and 3,895.97 is: 5,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.33 : 8,849.52 = 3,895.97 : x
  2. Step 2: Convert to fraction form
    6,413.33/8,849.52 = 3,895.97/x
  3. Step 3: Cross multiply
    6,413.33x = 8,849.52 × 3,895.97
  4. Step 4: Simplify right side
    6,413.33x = 34,477,464.43
  5. Step 5: Solve for x
    x = 34,477,464.43/6,413.33
  6. Step 6: Final answer
    x = 5,375.91

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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.