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Finding the Fourth Proportional to 9,177.84, 12,665.52 and 5,198.85

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Solution

The fourth proportional to 9,177.84, 12,665.52 and 5,198.85 is: 7,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.84 : 12,665.52 = 5,198.85 : x
  2. Step 2: Convert to fraction form
    9,177.84/12,665.52 = 5,198.85/x
  3. Step 3: Cross multiply
    9,177.84x = 12,665.52 × 5,198.85
  4. Step 4: Simplify right side
    9,177.84x = 65,846,138.65
  5. Step 5: Solve for x
    x = 65,846,138.65/9,177.84
  6. Step 6: Final answer
    x = 7,174.47

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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.