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Finding the Fourth Proportional to 6,649.27, 9,179.81 and 4,414.17

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Solution

The fourth proportional to 6,649.27, 9,179.81 and 4,414.17 is: 6,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.27 : 9,179.81 = 4,414.17 : x
  2. Step 2: Convert to fraction form
    6,649.27/9,179.81 = 4,414.17/x
  3. Step 3: Cross multiply
    6,649.27x = 9,179.81 × 4,414.17
  4. Step 4: Simplify right side
    6,649.27x = 40,521,241.91
  5. Step 5: Solve for x
    x = 40,521,241.91/6,649.27
  6. Step 6: Final answer
    x = 6,094.09

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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.