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Finding the Fourth Proportional to 6,939.93, 9,577.33 and 3,796.12

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Solution

The fourth proportional to 6,939.93, 9,577.33 and 3,796.12 is: 5,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.93 : 9,577.33 = 3,796.12 : x
  2. Step 2: Convert to fraction form
    6,939.93/9,577.33 = 3,796.12/x
  3. Step 3: Cross multiply
    6,939.93x = 9,577.33 × 3,796.12
  4. Step 4: Simplify right side
    6,939.93x = 36,356,693.96
  5. Step 5: Solve for x
    x = 36,356,693.96/6,939.93
  6. Step 6: Final answer
    x = 5,238.77

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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.