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Finding the Fourth Proportional to 9,922.45, 13,691.94 and 5,674.62

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Solution

The fourth proportional to 9,922.45, 13,691.94 and 5,674.62 is: 7,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.45 : 13,691.94 = 5,674.62 : x
  2. Step 2: Convert to fraction form
    9,922.45/13,691.94 = 5,674.62/x
  3. Step 3: Cross multiply
    9,922.45x = 13,691.94 × 5,674.62
  4. Step 4: Simplify right side
    9,922.45x = 77,696,556.56
  5. Step 5: Solve for x
    x = 77,696,556.56/9,922.45
  6. Step 6: Final answer
    x = 7,830.38

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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.