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Finding the Fourth Proportional to 9,162, 12,646.68 and 6,175.92

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Solution

The fourth proportional to 9,162, 12,646.68 and 6,175.92 is: 8,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162 : 12,646.68 = 6,175.92 : x
  2. Step 2: Convert to fraction form
    9,162/12,646.68 = 6,175.92/x
  3. Step 3: Cross multiply
    9,162x = 12,646.68 × 6,175.92
  4. Step 4: Simplify right side
    9,162x = 78,104,883.95
  5. Step 5: Solve for x
    x = 78,104,883.95/9,162
  6. Step 6: Final answer
    x = 8,524.87

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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.