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Finding the Fourth Proportional to 9,609, 13,253.54 and 6,245.54

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Solution

The fourth proportional to 9,609, 13,253.54 and 6,245.54 is: 8,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609 : 13,253.54 = 6,245.54 : x
  2. Step 2: Convert to fraction form
    9,609/13,253.54 = 6,245.54/x
  3. Step 3: Cross multiply
    9,609x = 13,253.54 × 6,245.54
  4. Step 4: Simplify right side
    9,609x = 82,775,514.21
  5. Step 5: Solve for x
    x = 82,775,514.21/9,609
  6. Step 6: Final answer
    x = 8,614.37

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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.