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Finding the Fourth Proportional to 9,293.38, 13,940.08 and 2,273.38

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Solution

The fourth proportional to 9,293.38, 13,940.08 and 2,273.38 is: 3,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.38 : 13,940.08 = 2,273.38 : x
  2. Step 2: Convert to fraction form
    9,293.38/13,940.08 = 2,273.38/x
  3. Step 3: Cross multiply
    9,293.38x = 13,940.08 × 2,273.38
  4. Step 4: Simplify right side
    9,293.38x = 31,691,099.07
  5. Step 5: Solve for x
    x = 31,691,099.07/9,293.38
  6. Step 6: Final answer
    x = 3,410.07

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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.