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Finding the Fourth Proportional to 7,122.43, 9,829.11 and 3,935.73

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Solution

The fourth proportional to 7,122.43, 9,829.11 and 3,935.73 is: 5,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.43 : 9,829.11 = 3,935.73 : x
  2. Step 2: Convert to fraction form
    7,122.43/9,829.11 = 3,935.73/x
  3. Step 3: Cross multiply
    7,122.43x = 9,829.11 × 3,935.73
  4. Step 4: Simplify right side
    7,122.43x = 38,684,703.42
  5. Step 5: Solve for x
    x = 38,684,703.42/7,122.43
  6. Step 6: Final answer
    x = 5,431.39

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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.