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Finding the Fourth Proportional to 6,186.69, 9,282.60 and 3,413.12

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Solution

The fourth proportional to 6,186.69, 9,282.60 and 3,413.12 is: 5,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.69 : 9,282.60 = 3,413.12 : x
  2. Step 2: Convert to fraction form
    6,186.69/9,282.60 = 3,413.12/x
  3. Step 3: Cross multiply
    6,186.69x = 9,282.60 × 3,413.12
  4. Step 4: Simplify right side
    6,186.69x = 31,682,581.30
  5. Step 5: Solve for x
    x = 31,682,581.30/6,186.69
  6. Step 6: Final answer
    x = 5,121.09

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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.