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Finding the Fourth Proportional to 9,177.68, 12,665.90 and 5,198.69

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Solution

The fourth proportional to 9,177.68, 12,665.90 and 5,198.69 is: 7,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.68 : 12,665.90 = 5,198.69 : x
  2. Step 2: Convert to fraction form
    9,177.68/12,665.90 = 5,198.69/x
  3. Step 3: Cross multiply
    9,177.68x = 12,665.90 × 5,198.69
  4. Step 4: Simplify right side
    9,177.68x = 65,846,087.67
  5. Step 5: Solve for x
    x = 65,846,087.67/9,177.68
  6. Step 6: Final answer
    x = 7,174.59

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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.