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Finding the Fourth Proportional to 6,941.38, 9,576.73 and 3,955.06

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Solution

The fourth proportional to 6,941.38, 9,576.73 and 3,955.06 is: 5,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.38 : 9,576.73 = 3,955.06 : x
  2. Step 2: Convert to fraction form
    6,941.38/9,576.73 = 3,955.06/x
  3. Step 3: Cross multiply
    6,941.38x = 9,576.73 × 3,955.06
  4. Step 4: Simplify right side
    6,941.38x = 37,876,558.67
  5. Step 5: Solve for x
    x = 37,876,558.67/6,941.38
  6. Step 6: Final answer
    x = 5,456.63

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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.