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Finding the Fourth Proportional to 9,922.14, 14,881.50 and 2,806.88

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Solution

The fourth proportional to 9,922.14, 14,881.50 and 2,806.88 is: 4,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.14 : 14,881.50 = 2,806.88 : x
  2. Step 2: Convert to fraction form
    9,922.14/14,881.50 = 2,806.88/x
  3. Step 3: Cross multiply
    9,922.14x = 14,881.50 × 2,806.88
  4. Step 4: Simplify right side
    9,922.14x = 41,770,510.31
  5. Step 5: Solve for x
    x = 41,770,510.31/9,922.14
  6. Step 6: Final answer
    x = 4,209.83

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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.