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Finding the Fourth Proportional to 9,195.72, 12,682.89 and 8,134.62

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Solution

The fourth proportional to 9,195.72, 12,682.89 and 8,134.62 is: 11,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.72 : 12,682.89 = 8,134.62 : x
  2. Step 2: Convert to fraction form
    9,195.72/12,682.89 = 8,134.62/x
  3. Step 3: Cross multiply
    9,195.72x = 12,682.89 × 8,134.62
  4. Step 4: Simplify right side
    9,195.72x = 103,170,490.65
  5. Step 5: Solve for x
    x = 103,170,490.65/9,195.72
  6. Step 6: Final answer
    x = 11,219.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.