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Finding the Fourth Proportional to 6,811.28, 9,399.30 and 4,163.12

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Solution

The fourth proportional to 6,811.28, 9,399.30 and 4,163.12 is: 5,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.28 : 9,399.30 = 4,163.12 : x
  2. Step 2: Convert to fraction form
    6,811.28/9,399.30 = 4,163.12/x
  3. Step 3: Cross multiply
    6,811.28x = 9,399.30 × 4,163.12
  4. Step 4: Simplify right side
    6,811.28x = 39,130,413.82
  5. Step 5: Solve for x
    x = 39,130,413.82/6,811.28
  6. Step 6: Final answer
    x = 5,744.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.