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Finding the Fourth Proportional to 6,644.42, 9,167.42 and 4,287.92

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Solution

The fourth proportional to 6,644.42, 9,167.42 and 4,287.92 is: 5,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.42 : 9,167.42 = 4,287.92 : x
  2. Step 2: Convert to fraction form
    6,644.42/9,167.42 = 4,287.92/x
  3. Step 3: Cross multiply
    6,644.42x = 9,167.42 × 4,287.92
  4. Step 4: Simplify right side
    6,644.42x = 39,309,163.57
  5. Step 5: Solve for x
    x = 39,309,163.57/6,644.42
  6. Step 6: Final answer
    x = 5,916.12

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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.