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Finding the Fourth Proportional to 7,197.30, 10,781.82 and 6,413.64

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Solution

The fourth proportional to 7,197.30, 10,781.82 and 6,413.64 is: 9,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.30 : 10,781.82 = 6,413.64 : x
  2. Step 2: Convert to fraction form
    7,197.30/10,781.82 = 6,413.64/x
  3. Step 3: Cross multiply
    7,197.30x = 10,781.82 × 6,413.64
  4. Step 4: Simplify right side
    7,197.30x = 69,150,712.02
  5. Step 5: Solve for x
    x = 69,150,712.02/7,197.30
  6. Step 6: Final answer
    x = 9,607.87

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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.