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Finding the Fourth Proportional to 6,856.83, 9,462.38 and 3,872.61

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Solution

The fourth proportional to 6,856.83, 9,462.38 and 3,872.61 is: 5,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.83 : 9,462.38 = 3,872.61 : x
  2. Step 2: Convert to fraction form
    6,856.83/9,462.38 = 3,872.61/x
  3. Step 3: Cross multiply
    6,856.83x = 9,462.38 × 3,872.61
  4. Step 4: Simplify right side
    6,856.83x = 36,644,088.05
  5. Step 5: Solve for x
    x = 36,644,088.05/6,856.83
  6. Step 6: Final answer
    x = 5,344.17

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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.