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Finding the Fourth Proportional to 9,195.82, 12,689.73 and 5,218.21

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Solution

The fourth proportional to 9,195.82, 12,689.73 and 5,218.21 is: 7,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.82 : 12,689.73 = 5,218.21 : x
  2. Step 2: Convert to fraction form
    9,195.82/12,689.73 = 5,218.21/x
  3. Step 3: Cross multiply
    9,195.82x = 12,689.73 × 5,218.21
  4. Step 4: Simplify right side
    9,195.82x = 66,217,675.98
  5. Step 5: Solve for x
    x = 66,217,675.98/9,195.82
  6. Step 6: Final answer
    x = 7,200.85

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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.