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Finding the Fourth Proportional to 6,323.76, 9,485.61 and 2,163.78

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Solution

The fourth proportional to 6,323.76, 9,485.61 and 2,163.78 is: 3,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.76 : 9,485.61 = 2,163.78 : x
  2. Step 2: Convert to fraction form
    6,323.76/9,485.61 = 2,163.78/x
  3. Step 3: Cross multiply
    6,323.76x = 9,485.61 × 2,163.78
  4. Step 4: Simplify right side
    6,323.76x = 20,524,773.21
  5. Step 5: Solve for x
    x = 20,524,773.21/6,323.76
  6. Step 6: Final answer
    x = 3,245.66

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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.