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Finding the Fourth Proportional to 6,640.08, 9,163.23 and 4,123.22

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Solution

The fourth proportional to 6,640.08, 9,163.23 and 4,123.22 is: 5,689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.08 : 9,163.23 = 4,123.22 : x
  2. Step 2: Convert to fraction form
    6,640.08/9,163.23 = 4,123.22/x
  3. Step 3: Cross multiply
    6,640.08x = 9,163.23 × 4,123.22
  4. Step 4: Simplify right side
    6,640.08x = 37,781,967.38
  5. Step 5: Solve for x
    x = 37,781,967.38/6,640.08
  6. Step 6: Final answer
    x = 5,689.99

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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.