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Finding the Fourth Proportional to 6,413.98, 9,618.65 and 2,716.47

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Solution

The fourth proportional to 6,413.98, 9,618.65 and 2,716.47 is: 4,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.98 : 9,618.65 = 2,716.47 : x
  2. Step 2: Convert to fraction form
    6,413.98/9,618.65 = 2,716.47/x
  3. Step 3: Cross multiply
    6,413.98x = 9,618.65 × 2,716.47
  4. Step 4: Simplify right side
    6,413.98x = 26,128,712.49
  5. Step 5: Solve for x
    x = 26,128,712.49/6,413.98
  6. Step 6: Final answer
    x = 4,073.71

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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.