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Finding the Fourth Proportional to 6,409.92, 9,614.88 and 3,672

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Solution

The fourth proportional to 6,409.92, 9,614.88 and 3,672 is: 5,508

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.92 : 9,614.88 = 3,672 : x
  2. Step 2: Convert to fraction form
    6,409.92/9,614.88 = 3,672/x
  3. Step 3: Cross multiply
    6,409.92x = 9,614.88 × 3,672
  4. Step 4: Simplify right side
    6,409.92x = 35,305,839.36
  5. Step 5: Solve for x
    x = 35,305,839.36/6,409.92
  6. Step 6: Final answer
    x = 5,508

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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.