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Finding the Fourth Proportional to 6,282.73, 9,413.20 and 3,812.36

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Solution

The fourth proportional to 6,282.73, 9,413.20 and 3,812.36 is: 5,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.73 : 9,413.20 = 3,812.36 : x
  2. Step 2: Convert to fraction form
    6,282.73/9,413.20 = 3,812.36/x
  3. Step 3: Cross multiply
    6,282.73x = 9,413.20 × 3,812.36
  4. Step 4: Simplify right side
    6,282.73x = 35,886,507.15
  5. Step 5: Solve for x
    x = 35,886,507.15/6,282.73
  6. Step 6: Final answer
    x = 5,711.93

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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.