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Finding the Fourth Proportional to 6,272.62, 9,413.38 and 2,578.21

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Solution

The fourth proportional to 6,272.62, 9,413.38 and 2,578.21 is: 3,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.62 : 9,413.38 = 2,578.21 : x
  2. Step 2: Convert to fraction form
    6,272.62/9,413.38 = 2,578.21/x
  3. Step 3: Cross multiply
    6,272.62x = 9,413.38 × 2,578.21
  4. Step 4: Simplify right side
    6,272.62x = 24,269,670.45
  5. Step 5: Solve for x
    x = 24,269,670.45/6,272.62
  6. Step 6: Final answer
    x = 3,869.14

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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.