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Finding the Fourth Proportional to 7,225.36, 9,964.20 and 6,163.54

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Solution

The fourth proportional to 7,225.36, 9,964.20 and 6,163.54 is: 8,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.36 : 9,964.20 = 6,163.54 : x
  2. Step 2: Convert to fraction form
    7,225.36/9,964.20 = 6,163.54/x
  3. Step 3: Cross multiply
    7,225.36x = 9,964.20 × 6,163.54
  4. Step 4: Simplify right side
    7,225.36x = 61,414,745.27
  5. Step 5: Solve for x
    x = 61,414,745.27/7,225.36
  6. Step 6: Final answer
    x = 8,499.89

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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.