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Finding the Fourth Proportional to 7,196.91, 9,934.23 and 4,213.71

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Solution

The fourth proportional to 7,196.91, 9,934.23 and 4,213.71 is: 5,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.91 : 9,934.23 = 4,213.71 : x
  2. Step 2: Convert to fraction form
    7,196.91/9,934.23 = 4,213.71/x
  3. Step 3: Cross multiply
    7,196.91x = 9,934.23 × 4,213.71
  4. Step 4: Simplify right side
    7,196.91x = 41,859,964.29
  5. Step 5: Solve for x
    x = 41,859,964.29/7,196.91
  6. Step 6: Final answer
    x = 5,816.38

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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.