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Finding the Fourth Proportional to 6,067.37, 9,098.22 and 4,219.40

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Solution

The fourth proportional to 6,067.37, 9,098.22 and 4,219.40 is: 6,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.37 : 9,098.22 = 4,219.40 : x
  2. Step 2: Convert to fraction form
    6,067.37/9,098.22 = 4,219.40/x
  3. Step 3: Cross multiply
    6,067.37x = 9,098.22 × 4,219.40
  4. Step 4: Simplify right side
    6,067.37x = 38,389,029.47
  5. Step 5: Solve for x
    x = 38,389,029.47/6,067.37
  6. Step 6: Final answer
    x = 6,327.13

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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.