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Finding the Fourth Proportional to 9,227.75, 13,813.37 and 7,456.28

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Solution

The fourth proportional to 9,227.75, 13,813.37 and 7,456.28 is: 11,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.75 : 13,813.37 = 7,456.28 : x
  2. Step 2: Convert to fraction form
    9,227.75/13,813.37 = 7,456.28/x
  3. Step 3: Cross multiply
    9,227.75x = 13,813.37 × 7,456.28
  4. Step 4: Simplify right side
    9,227.75x = 102,996,276.08
  5. Step 5: Solve for x
    x = 102,996,276.08/9,227.75
  6. Step 6: Final answer
    x = 11,161.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.