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Finding the Fourth Proportional to 6,582,256.78, 9,866,906.90 and 3,846,331.92

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Solution

The fourth proportional to 6,582,256.78, 9,866,906.90 and 3,846,331.92 is: 5,765,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582,256.78 : 9,866,906.90 = 3,846,331.92 : x
  2. Step 2: Convert to fraction form
    6,582,256.78/9,866,906.90 = 3,846,331.92/x
  3. Step 3: Cross multiply
    6,582,256.78x = 9,866,906.90 × 3,846,331.92
  4. Step 4: Simplify right side
    6,582,256.78x = 37,951,398,961,138.25
  5. Step 5: Solve for x
    x = 37,951,398,961,138.25/6,582,256.78
  6. Step 6: Final answer
    x = 5,765,712.31

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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.