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Finding the Fourth Proportional to 9,201.26, 13,780.87 and 7,222.39

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Solution

The fourth proportional to 9,201.26, 13,780.87 and 7,222.39 is: 10,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.26 : 13,780.87 = 7,222.39 : x
  2. Step 2: Convert to fraction form
    9,201.26/13,780.87 = 7,222.39/x
  3. Step 3: Cross multiply
    9,201.26x = 13,780.87 × 7,222.39
  4. Step 4: Simplify right side
    9,201.26x = 99,530,765.17
  5. Step 5: Solve for x
    x = 99,530,765.17/9,201.26
  6. Step 6: Final answer
    x = 10,817.08

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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.