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Finding the Fourth Proportional to 9,949.14, 14,902.11 and 9,672.66

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Solution

The fourth proportional to 9,949.14, 14,902.11 and 9,672.66 is: 14,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.14 : 14,902.11 = 9,672.66 : x
  2. Step 2: Convert to fraction form
    9,949.14/14,902.11 = 9,672.66/x
  3. Step 3: Cross multiply
    9,949.14x = 14,902.11 × 9,672.66
  4. Step 4: Simplify right side
    9,949.14x = 144,143,043.31
  5. Step 5: Solve for x
    x = 144,143,043.31/9,949.14
  6. Step 6: Final answer
    x = 14,487.99

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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.