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Finding the Fourth Proportional to 6,361.04, 9,532.92 and 3,285.20

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Solution

The fourth proportional to 6,361.04, 9,532.92 and 3,285.20 is: 4,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.04 : 9,532.92 = 3,285.20 : x
  2. Step 2: Convert to fraction form
    6,361.04/9,532.92 = 3,285.20/x
  3. Step 3: Cross multiply
    6,361.04x = 9,532.92 × 3,285.20
  4. Step 4: Simplify right side
    6,361.04x = 31,317,548.78
  5. Step 5: Solve for x
    x = 31,317,548.78/6,361.04
  6. Step 6: Final answer
    x = 4,923.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.