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Finding the Fourth Proportional to 6,682.20, 9,221.37 and 3,698.01

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Solution

The fourth proportional to 6,682.20, 9,221.37 and 3,698.01 is: 5,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.20 : 9,221.37 = 3,698.01 : x
  2. Step 2: Convert to fraction form
    6,682.20/9,221.37 = 3,698.01/x
  3. Step 3: Cross multiply
    6,682.20x = 9,221.37 × 3,698.01
  4. Step 4: Simplify right side
    6,682.20x = 34,100,718.47
  5. Step 5: Solve for x
    x = 34,100,718.47/6,682.20
  6. Step 6: Final answer
    x = 5,103.22

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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.