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Finding the Fourth Proportional to 6,366.71, 9,556.15 and 3,906.34

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Solution

The fourth proportional to 6,366.71, 9,556.15 and 3,906.34 is: 5,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.71 : 9,556.15 = 3,906.34 : x
  2. Step 2: Convert to fraction form
    6,366.71/9,556.15 = 3,906.34/x
  3. Step 3: Cross multiply
    6,366.71x = 9,556.15 × 3,906.34
  4. Step 4: Simplify right side
    6,366.71x = 37,329,537.33
  5. Step 5: Solve for x
    x = 37,329,537.33/6,366.71
  6. Step 6: Final answer
    x = 5,863.24

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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.