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Finding the Fourth Proportional to 6,238.05, 9,365.22 and 4,171.32

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Solution

The fourth proportional to 6,238.05, 9,365.22 and 4,171.32 is: 6,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.05 : 9,365.22 = 4,171.32 : x
  2. Step 2: Convert to fraction form
    6,238.05/9,365.22 = 4,171.32/x
  3. Step 3: Cross multiply
    6,238.05x = 9,365.22 × 4,171.32
  4. Step 4: Simplify right side
    6,238.05x = 39,065,329.49
  5. Step 5: Solve for x
    x = 39,065,329.49/6,238.05
  6. Step 6: Final answer
    x = 6,262.43

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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.