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Finding the Fourth Proportional to 6,905.17, 9,529.20 and 3,761.38

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Solution

The fourth proportional to 6,905.17, 9,529.20 and 3,761.38 is: 5,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.17 : 9,529.20 = 3,761.38 : x
  2. Step 2: Convert to fraction form
    6,905.17/9,529.20 = 3,761.38/x
  3. Step 3: Cross multiply
    6,905.17x = 9,529.20 × 3,761.38
  4. Step 4: Simplify right side
    6,905.17x = 35,842,942.30
  5. Step 5: Solve for x
    x = 35,842,942.30/6,905.17
  6. Step 6: Final answer
    x = 5,190.74

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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.