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Finding the Fourth Proportional to 9,065.22, 12,514.38 and 5,709.66

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Solution

The fourth proportional to 9,065.22, 12,514.38 and 5,709.66 is: 7,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.22 : 12,514.38 = 5,709.66 : x
  2. Step 2: Convert to fraction form
    9,065.22/12,514.38 = 5,709.66/x
  3. Step 3: Cross multiply
    9,065.22x = 12,514.38 × 5,709.66
  4. Step 4: Simplify right side
    9,065.22x = 71,452,854.91
  5. Step 5: Solve for x
    x = 71,452,854.91/9,065.22
  6. Step 6: Final answer
    x = 7,882.09

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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.