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Finding the Fourth Proportional to 6,905.57, 9,529.74 and 3,761.78

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Solution

The fourth proportional to 6,905.57, 9,529.74 and 3,761.78 is: 5,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.57 : 9,529.74 = 3,761.78 : x
  2. Step 2: Convert to fraction form
    6,905.57/9,529.74 = 3,761.78/x
  3. Step 3: Cross multiply
    6,905.57x = 9,529.74 × 3,761.78
  4. Step 4: Simplify right side
    6,905.57x = 35,848,737.69
  5. Step 5: Solve for x
    x = 35,848,737.69/6,905.57
  6. Step 6: Final answer
    x = 5,191.28

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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.