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Finding the Fourth Proportional to 9,906.17, 14,850.14 and 3,664.71

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Solution

The fourth proportional to 9,906.17, 14,850.14 and 3,664.71 is: 5,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.17 : 14,850.14 = 3,664.71 : x
  2. Step 2: Convert to fraction form
    9,906.17/14,850.14 = 3,664.71/x
  3. Step 3: Cross multiply
    9,906.17x = 14,850.14 × 3,664.71
  4. Step 4: Simplify right side
    9,906.17x = 54,421,438.24
  5. Step 5: Solve for x
    x = 54,421,438.24/9,906.17
  6. Step 6: Final answer
    x = 5,493.69

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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.