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Finding the Fourth Proportional to 6,940, 9,576.44 and 3,955.20

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Solution

The fourth proportional to 6,940, 9,576.44 and 3,955.20 is: 5,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 9,576.44 = 3,955.20 : x
  2. Step 2: Convert to fraction form
    6,940/9,576.44 = 3,955.20/x
  3. Step 3: Cross multiply
    6,940x = 9,576.44 × 3,955.20
  4. Step 4: Simplify right side
    6,940x = 37,876,735.49
  5. Step 5: Solve for x
    x = 37,876,735.49/6,940
  6. Step 6: Final answer
    x = 5,457.74

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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.