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Finding the Fourth Proportional to 6,105.12, 9,145.86 and 4,018.86

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Solution

The fourth proportional to 6,105.12, 9,145.86 and 4,018.86 is: 6,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.12 : 9,145.86 = 4,018.86 : x
  2. Step 2: Convert to fraction form
    6,105.12/9,145.86 = 4,018.86/x
  3. Step 3: Cross multiply
    6,105.12x = 9,145.86 × 4,018.86
  4. Step 4: Simplify right side
    6,105.12x = 36,755,930.92
  5. Step 5: Solve for x
    x = 36,755,930.92/6,105.12
  6. Step 6: Final answer
    x = 6,020.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.