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Finding the Fourth Proportional to 6,939.82, 9,577.76 and 3,956.15

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Solution

The fourth proportional to 6,939.82, 9,577.76 and 3,956.15 is: 5,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.82 : 9,577.76 = 3,956.15 : x
  2. Step 2: Convert to fraction form
    6,939.82/9,577.76 = 3,956.15/x
  3. Step 3: Cross multiply
    6,939.82x = 9,577.76 × 3,956.15
  4. Step 4: Simplify right side
    6,939.82x = 37,891,055.22
  5. Step 5: Solve for x
    x = 37,891,055.22/6,939.82
  6. Step 6: Final answer
    x = 5,459.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.