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Finding the Fourth Proportional to 9,954.82, 14,934.03 and 3,380.41

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Solution

The fourth proportional to 9,954.82, 14,934.03 and 3,380.41 is: 5,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.82 : 14,934.03 = 3,380.41 : x
  2. Step 2: Convert to fraction form
    9,954.82/14,934.03 = 3,380.41/x
  3. Step 3: Cross multiply
    9,954.82x = 14,934.03 × 3,380.41
  4. Step 4: Simplify right side
    9,954.82x = 50,483,144.35
  5. Step 5: Solve for x
    x = 50,483,144.35/9,954.82
  6. Step 6: Final answer
    x = 5,071.23

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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.