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Finding the Fourth Proportional to 6,822.66, 9,414.38 and 3,989.50

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Solution

The fourth proportional to 6,822.66, 9,414.38 and 3,989.50 is: 5,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.66 : 9,414.38 = 3,989.50 : x
  2. Step 2: Convert to fraction form
    6,822.66/9,414.38 = 3,989.50/x
  3. Step 3: Cross multiply
    6,822.66x = 9,414.38 × 3,989.50
  4. Step 4: Simplify right side
    6,822.66x = 37,558,669.01
  5. Step 5: Solve for x
    x = 37,558,669.01/6,822.66
  6. Step 6: Final answer
    x = 5,504.99

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Why These Related Problems?

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