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Finding the Fourth Proportional to 6,413.16, 9,615.60 and 1,969.32

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Solution

The fourth proportional to 6,413.16, 9,615.60 and 1,969.32 is: 2,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.16 : 9,615.60 = 1,969.32 : x
  2. Step 2: Convert to fraction form
    6,413.16/9,615.60 = 1,969.32/x
  3. Step 3: Cross multiply
    6,413.16x = 9,615.60 × 1,969.32
  4. Step 4: Simplify right side
    6,413.16x = 18,936,193.39
  5. Step 5: Solve for x
    x = 18,936,193.39/6,413.16
  6. Step 6: Final answer
    x = 2,952.71

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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.