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Finding the Fourth Proportional to 9,610.22, 14,419.17 and 5,222.54

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Solution

The fourth proportional to 9,610.22, 14,419.17 and 5,222.54 is: 7,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.22 : 14,419.17 = 5,222.54 : x
  2. Step 2: Convert to fraction form
    9,610.22/14,419.17 = 5,222.54/x
  3. Step 3: Cross multiply
    9,610.22x = 14,419.17 × 5,222.54
  4. Step 4: Simplify right side
    9,610.22x = 75,304,692.09
  5. Step 5: Solve for x
    x = 75,304,692.09/9,610.22
  6. Step 6: Final answer
    x = 7,835.90

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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.