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Finding the Fourth Proportional to 7,959.42, 11,934.84 and 6,105.96

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Solution

The fourth proportional to 7,959.42, 11,934.84 and 6,105.96 is: 9,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.42 : 11,934.84 = 6,105.96 : x
  2. Step 2: Convert to fraction form
    7,959.42/11,934.84 = 6,105.96/x
  3. Step 3: Cross multiply
    7,959.42x = 11,934.84 × 6,105.96
  4. Step 4: Simplify right side
    7,959.42x = 72,873,655.65
  5. Step 5: Solve for x
    x = 72,873,655.65/7,959.42
  6. Step 6: Final answer
    x = 9,155.65

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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.