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Finding the Fourth Proportional to 6,163.97, 9,238.61 and 3,533.29

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Solution

The fourth proportional to 6,163.97, 9,238.61 and 3,533.29 is: 5,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.97 : 9,238.61 = 3,533.29 : x
  2. Step 2: Convert to fraction form
    6,163.97/9,238.61 = 3,533.29/x
  3. Step 3: Cross multiply
    6,163.97x = 9,238.61 × 3,533.29
  4. Step 4: Simplify right side
    6,163.97x = 32,642,654.19
  5. Step 5: Solve for x
    x = 32,642,654.19/6,163.97
  6. Step 6: Final answer
    x = 5,295.72

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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.