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Finding the Fourth Proportional to 6,939.91, 9,577.31 and 3,796.10

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Solution

The fourth proportional to 6,939.91, 9,577.31 and 3,796.10 is: 5,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.91 : 9,577.31 = 3,796.10 : x
  2. Step 2: Convert to fraction form
    6,939.91/9,577.31 = 3,796.10/x
  3. Step 3: Cross multiply
    6,939.91x = 9,577.31 × 3,796.10
  4. Step 4: Simplify right side
    6,939.91x = 36,356,407.51
  5. Step 5: Solve for x
    x = 36,356,407.51/6,939.91
  6. Step 6: Final answer
    x = 5,238.74

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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.