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Finding the Fourth Proportional to 6,201.78, 9,305.42 and 2,511.21

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Solution

The fourth proportional to 6,201.78, 9,305.42 and 2,511.21 is: 3,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.78 : 9,305.42 = 2,511.21 : x
  2. Step 2: Convert to fraction form
    6,201.78/9,305.42 = 2,511.21/x
  3. Step 3: Cross multiply
    6,201.78x = 9,305.42 × 2,511.21
  4. Step 4: Simplify right side
    6,201.78x = 23,367,863.76
  5. Step 5: Solve for x
    x = 23,367,863.76/6,201.78
  6. Step 6: Final answer
    x = 3,767.93

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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.