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Finding the Fourth Proportional to 6,682.25, 9,221.72 and 3,698.36

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Solution

The fourth proportional to 6,682.25, 9,221.72 and 3,698.36 is: 5,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.25 : 9,221.72 = 3,698.36 : x
  2. Step 2: Convert to fraction form
    6,682.25/9,221.72 = 3,698.36/x
  3. Step 3: Cross multiply
    6,682.25x = 9,221.72 × 3,698.36
  4. Step 4: Simplify right side
    6,682.25x = 34,105,241.57
  5. Step 5: Solve for x
    x = 34,105,241.57/6,682.25
  6. Step 6: Final answer
    x = 5,103.86

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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.