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Finding the Fourth Proportional to 9,195.62, 12,687.74 and 5,418.93

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Solution

The fourth proportional to 9,195.62, 12,687.74 and 5,418.93 is: 7,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.62 : 12,687.74 = 5,418.93 : x
  2. Step 2: Convert to fraction form
    9,195.62/12,687.74 = 5,418.93/x
  3. Step 3: Cross multiply
    9,195.62x = 12,687.74 × 5,418.93
  4. Step 4: Simplify right side
    9,195.62x = 68,753,947.82
  5. Step 5: Solve for x
    x = 68,753,947.82/9,195.62
  6. Step 6: Final answer
    x = 7,476.82

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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.