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Finding the Fourth Proportional to 6,267.21, 8,648.49 and 3,747.83

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Solution

The fourth proportional to 6,267.21, 8,648.49 and 3,747.83 is: 5,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.21 : 8,648.49 = 3,747.83 : x
  2. Step 2: Convert to fraction form
    6,267.21/8,648.49 = 3,747.83/x
  3. Step 3: Cross multiply
    6,267.21x = 8,648.49 × 3,747.83
  4. Step 4: Simplify right side
    6,267.21x = 32,413,027.03
  5. Step 5: Solve for x
    x = 32,413,027.03/6,267.21
  6. Step 6: Final answer
    x = 5,171.84

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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.