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Finding the Fourth Proportional to 9,287.28, 13,936.05 and 4,093.02

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Solution

The fourth proportional to 9,287.28, 13,936.05 and 4,093.02 is: 6,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.28 : 13,936.05 = 4,093.02 : x
  2. Step 2: Convert to fraction form
    9,287.28/13,936.05 = 4,093.02/x
  3. Step 3: Cross multiply
    9,287.28x = 13,936.05 × 4,093.02
  4. Step 4: Simplify right side
    9,287.28x = 57,040,531.37
  5. Step 5: Solve for x
    x = 57,040,531.37/9,287.28
  6. Step 6: Final answer
    x = 6,141.79

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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.