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Finding the Fourth Proportional to 7,144.34, 9,857.45 and 4,158.38

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Solution

The fourth proportional to 7,144.34, 9,857.45 and 4,158.38 is: 5,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.34 : 9,857.45 = 4,158.38 : x
  2. Step 2: Convert to fraction form
    7,144.34/9,857.45 = 4,158.38/x
  3. Step 3: Cross multiply
    7,144.34x = 9,857.45 × 4,158.38
  4. Step 4: Simplify right side
    7,144.34x = 40,990,952.85
  5. Step 5: Solve for x
    x = 40,990,952.85/7,144.34
  6. Step 6: Final answer
    x = 5,737.55

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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.