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Finding the Fourth Proportional to 6,905.14, 9,529.10 and 3,761.33

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Solution

The fourth proportional to 6,905.14, 9,529.10 and 3,761.33 is: 5,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.14 : 9,529.10 = 3,761.33 : x
  2. Step 2: Convert to fraction form
    6,905.14/9,529.10 = 3,761.33/x
  3. Step 3: Cross multiply
    6,905.14x = 9,529.10 × 3,761.33
  4. Step 4: Simplify right side
    6,905.14x = 35,842,114.94
  5. Step 5: Solve for x
    x = 35,842,114.94/6,905.14
  6. Step 6: Final answer
    x = 5,190.64

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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.