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Finding the Fourth Proportional to 9,614.33, 13,273.79 and 7,371.90

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Solution

The fourth proportional to 9,614.33, 13,273.79 and 7,371.90 is: 10,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.33 : 13,273.79 = 7,371.90 : x
  2. Step 2: Convert to fraction form
    9,614.33/13,273.79 = 7,371.90/x
  3. Step 3: Cross multiply
    9,614.33x = 13,273.79 × 7,371.90
  4. Step 4: Simplify right side
    9,614.33x = 97,853,015.64
  5. Step 5: Solve for x
    x = 97,853,015.64/9,614.33
  6. Step 6: Final answer
    x = 10,177.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.