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Finding the Fourth Proportional to 6,905.34, 9,528.84 and 3,761.28

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Solution

The fourth proportional to 6,905.34, 9,528.84 and 3,761.28 is: 5,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.34 : 9,528.84 = 3,761.28 : x
  2. Step 2: Convert to fraction form
    6,905.34/9,528.84 = 3,761.28/x
  3. Step 3: Cross multiply
    6,905.34x = 9,528.84 × 3,761.28
  4. Step 4: Simplify right side
    6,905.34x = 35,840,635.32
  5. Step 5: Solve for x
    x = 35,840,635.32/6,905.34
  6. Step 6: Final answer
    x = 5,190.28

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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.