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Finding the Fourth Proportional to 7,217.20, 9,960.74 and 4,234

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Solution

The fourth proportional to 7,217.20, 9,960.74 and 4,234 is: 5,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.20 : 9,960.74 = 4,234 : x
  2. Step 2: Convert to fraction form
    7,217.20/9,960.74 = 4,234/x
  3. Step 3: Cross multiply
    7,217.20x = 9,960.74 × 4,234
  4. Step 4: Simplify right side
    7,217.20x = 42,173,773.16
  5. Step 5: Solve for x
    x = 42,173,773.16/7,217.20
  6. Step 6: Final answer
    x = 5,843.51

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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.