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Finding the Fourth Proportional to 9,211.49, 13,805.66 and 3,940.30

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Solution

The fourth proportional to 9,211.49, 13,805.66 and 3,940.30 is: 5,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.49 : 13,805.66 = 3,940.30 : x
  2. Step 2: Convert to fraction form
    9,211.49/13,805.66 = 3,940.30/x
  3. Step 3: Cross multiply
    9,211.49x = 13,805.66 × 3,940.30
  4. Step 4: Simplify right side
    9,211.49x = 54,398,373.07
  5. Step 5: Solve for x
    x = 54,398,373.07/9,211.49
  6. Step 6: Final answer
    x = 5,905.49

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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.