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Finding the Fourth Proportional to 6,076.71, 9,118.71 and 2,181.42

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Solution

The fourth proportional to 6,076.71, 9,118.71 and 2,181.42 is: 3,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.71 : 9,118.71 = 2,181.42 : x
  2. Step 2: Convert to fraction form
    6,076.71/9,118.71 = 2,181.42/x
  3. Step 3: Cross multiply
    6,076.71x = 9,118.71 × 2,181.42
  4. Step 4: Simplify right side
    6,076.71x = 19,891,736.37
  5. Step 5: Solve for x
    x = 19,891,736.37/6,076.71
  6. Step 6: Final answer
    x = 3,273.44

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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.