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Finding the Fourth Proportional to 6,940.90, 9,579.09 and 3,956.14

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Solution

The fourth proportional to 6,940.90, 9,579.09 and 3,956.14 is: 5,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.90 : 9,579.09 = 3,956.14 : x
  2. Step 2: Convert to fraction form
    6,940.90/9,579.09 = 3,956.14/x
  3. Step 3: Cross multiply
    6,940.90x = 9,579.09 × 3,956.14
  4. Step 4: Simplify right side
    6,940.90x = 37,896,221.11
  5. Step 5: Solve for x
    x = 37,896,221.11/6,940.90
  6. Step 6: Final answer
    x = 5,459.84

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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.