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Finding the Fourth Proportional to 7,105.92, 9,806.03 and 4,122.05

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Solution

The fourth proportional to 7,105.92, 9,806.03 and 4,122.05 is: 5,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.92 : 9,806.03 = 4,122.05 : x
  2. Step 2: Convert to fraction form
    7,105.92/9,806.03 = 4,122.05/x
  3. Step 3: Cross multiply
    7,105.92x = 9,806.03 × 4,122.05
  4. Step 4: Simplify right side
    7,105.92x = 40,420,876.32
  5. Step 5: Solve for x
    x = 40,420,876.32/7,105.92
  6. Step 6: Final answer
    x = 5,688.34

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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.