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Finding the Fourth Proportional to 6,083.78, 9,106.56 and 4,198.64

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Solution

The fourth proportional to 6,083.78, 9,106.56 and 4,198.64 is: 6,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.78 : 9,106.56 = 4,198.64 : x
  2. Step 2: Convert to fraction form
    6,083.78/9,106.56 = 4,198.64/x
  3. Step 3: Cross multiply
    6,083.78x = 9,106.56 × 4,198.64
  4. Step 4: Simplify right side
    6,083.78x = 38,235,167.08
  5. Step 5: Solve for x
    x = 38,235,167.08/6,083.78
  6. Step 6: Final answer
    x = 6,284.77

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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.