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Finding the Fourth Proportional to 6,939.02, 9,576.90 and 4,422.25

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Solution

The fourth proportional to 6,939.02, 9,576.90 and 4,422.25 is: 6,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.02 : 9,576.90 = 4,422.25 : x
  2. Step 2: Convert to fraction form
    6,939.02/9,576.90 = 4,422.25/x
  3. Step 3: Cross multiply
    6,939.02x = 9,576.90 × 4,422.25
  4. Step 4: Simplify right side
    6,939.02x = 42,351,446.03
  5. Step 5: Solve for x
    x = 42,351,446.03/6,939.02
  6. Step 6: Final answer
    x = 6,103.38

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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.