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Finding the Fourth Proportional to 7,126.42, 9,833.61 and 3,939.29

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Solution

The fourth proportional to 7,126.42, 9,833.61 and 3,939.29 is: 5,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.42 : 9,833.61 = 3,939.29 : x
  2. Step 2: Convert to fraction form
    7,126.42/9,833.61 = 3,939.29/x
  3. Step 3: Cross multiply
    7,126.42x = 9,833.61 × 3,939.29
  4. Step 4: Simplify right side
    7,126.42x = 38,737,432.94
  5. Step 5: Solve for x
    x = 38,737,432.94/7,126.42
  6. Step 6: Final answer
    x = 5,435.75

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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.