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Finding the Fourth Proportional to 6,202.92, 9,292.38 and 4,731.24

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Solution

The fourth proportional to 6,202.92, 9,292.38 and 4,731.24 is: 7,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.92 : 9,292.38 = 4,731.24 : x
  2. Step 2: Convert to fraction form
    6,202.92/9,292.38 = 4,731.24/x
  3. Step 3: Cross multiply
    6,202.92x = 9,292.38 × 4,731.24
  4. Step 4: Simplify right side
    6,202.92x = 43,964,479.95
  5. Step 5: Solve for x
    x = 43,964,479.95/6,202.92
  6. Step 6: Final answer
    x = 7,087.71

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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.