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Finding the Fourth Proportional to 6,422.58, 9,629.77 and 4,757.73

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Solution

The fourth proportional to 6,422.58, 9,629.77 and 4,757.73 is: 7,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.58 : 9,629.77 = 4,757.73 : x
  2. Step 2: Convert to fraction form
    6,422.58/9,629.77 = 4,757.73/x
  3. Step 3: Cross multiply
    6,422.58x = 9,629.77 × 4,757.73
  4. Step 4: Simplify right side
    6,422.58x = 45,815,845.62
  5. Step 5: Solve for x
    x = 45,815,845.62/6,422.58
  6. Step 6: Final answer
    x = 7,133.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.