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Finding the Fourth Proportional to 9,224.02, 12,724.68 and 6,240.88

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Solution

The fourth proportional to 9,224.02, 12,724.68 and 6,240.88 is: 8,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.02 : 12,724.68 = 6,240.88 : x
  2. Step 2: Convert to fraction form
    9,224.02/12,724.68 = 6,240.88/x
  3. Step 3: Cross multiply
    9,224.02x = 12,724.68 × 6,240.88
  4. Step 4: Simplify right side
    9,224.02x = 79,413,200.92
  5. Step 5: Solve for x
    x = 79,413,200.92/9,224.02
  6. Step 6: Final answer
    x = 8,609.39

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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.