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Finding the Fourth Proportional to 6,413.65, 9,614.67 and 2,517.01

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Solution

The fourth proportional to 6,413.65, 9,614.67 and 2,517.01 is: 3,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.65 : 9,614.67 = 2,517.01 : x
  2. Step 2: Convert to fraction form
    6,413.65/9,614.67 = 2,517.01/x
  3. Step 3: Cross multiply
    6,413.65x = 9,614.67 × 2,517.01
  4. Step 4: Simplify right side
    6,413.65x = 24,200,220.54
  5. Step 5: Solve for x
    x = 24,200,220.54/6,413.65
  6. Step 6: Final answer
    x = 3,773.24

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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.