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Finding the Fourth Proportional to 9,906.66, 14,849.97 and 6,211.48

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Solution

The fourth proportional to 9,906.66, 14,849.97 and 6,211.48 is: 9,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.66 : 14,849.97 = 6,211.48 : x
  2. Step 2: Convert to fraction form
    9,906.66/14,849.97 = 6,211.48/x
  3. Step 3: Cross multiply
    9,906.66x = 14,849.97 × 6,211.48
  4. Step 4: Simplify right side
    9,906.66x = 92,240,291.66
  5. Step 5: Solve for x
    x = 92,240,291.66/9,906.66
  6. Step 6: Final answer
    x = 9,310.94

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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.