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Finding the Fourth Proportional to 8,609.92, 12,917.44 and 3,614.64

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Solution

The fourth proportional to 8,609.92, 12,917.44 and 3,614.64 is: 5,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.92 : 12,917.44 = 3,614.64 : x
  2. Step 2: Convert to fraction form
    8,609.92/12,917.44 = 3,614.64/x
  3. Step 3: Cross multiply
    8,609.92x = 12,917.44 × 3,614.64
  4. Step 4: Simplify right side
    8,609.92x = 46,691,895.32
  5. Step 5: Solve for x
    x = 46,691,895.32/8,609.92
  6. Step 6: Final answer
    x = 5,423.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.