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Finding the Fourth Proportional to 7,144.02, 9,857.85 and 4,311.54

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Solution

The fourth proportional to 7,144.02, 9,857.85 and 4,311.54 is: 5,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.02 : 9,857.85 = 4,311.54 : x
  2. Step 2: Convert to fraction form
    7,144.02/9,857.85 = 4,311.54/x
  3. Step 3: Cross multiply
    7,144.02x = 9,857.85 × 4,311.54
  4. Step 4: Simplify right side
    7,144.02x = 42,502,514.59
  5. Step 5: Solve for x
    x = 42,502,514.59/7,144.02
  6. Step 6: Final answer
    x = 5,949.38

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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.