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Finding the Fourth Proportional to 6,697.83, 9,242.52 and 3,672.46

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Solution

The fourth proportional to 6,697.83, 9,242.52 and 3,672.46 is: 5,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.83 : 9,242.52 = 3,672.46 : x
  2. Step 2: Convert to fraction form
    6,697.83/9,242.52 = 3,672.46/x
  3. Step 3: Cross multiply
    6,697.83x = 9,242.52 × 3,672.46
  4. Step 4: Simplify right side
    6,697.83x = 33,942,766.64
  5. Step 5: Solve for x
    x = 33,942,766.64/6,697.83
  6. Step 6: Final answer
    x = 5,067.73

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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.