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Finding the Fourth Proportional to 6,408.76, 9,599.69 and 4,067.56

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Solution

The fourth proportional to 6,408.76, 9,599.69 and 4,067.56 is: 6,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.76 : 9,599.69 = 4,067.56 : x
  2. Step 2: Convert to fraction form
    6,408.76/9,599.69 = 4,067.56/x
  3. Step 3: Cross multiply
    6,408.76x = 9,599.69 × 4,067.56
  4. Step 4: Simplify right side
    6,408.76x = 39,047,246.72
  5. Step 5: Solve for x
    x = 39,047,246.72/6,408.76
  6. Step 6: Final answer
    x = 6,092.80

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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.