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Finding the Fourth Proportional to 6,891.78, 9,511.63 and 3,908.35

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Solution

The fourth proportional to 6,891.78, 9,511.63 and 3,908.35 is: 5,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.78 : 9,511.63 = 3,908.35 : x
  2. Step 2: Convert to fraction form
    6,891.78/9,511.63 = 3,908.35/x
  3. Step 3: Cross multiply
    6,891.78x = 9,511.63 × 3,908.35
  4. Step 4: Simplify right side
    6,891.78x = 37,174,781.23
  5. Step 5: Solve for x
    x = 37,174,781.23/6,891.78
  6. Step 6: Final answer
    x = 5,394.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.