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Finding the Fourth Proportional to 6,682.77, 9,222.13 and 3,698.43

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Solution

The fourth proportional to 6,682.77, 9,222.13 and 3,698.43 is: 5,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.77 : 9,222.13 = 3,698.43 : x
  2. Step 2: Convert to fraction form
    6,682.77/9,222.13 = 3,698.43/x
  3. Step 3: Cross multiply
    6,682.77x = 9,222.13 × 3,698.43
  4. Step 4: Simplify right side
    6,682.77x = 34,107,402.26
  5. Step 5: Solve for x
    x = 34,107,402.26/6,682.77
  6. Step 6: Final answer
    x = 5,103.78

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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.