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Finding the Fourth Proportional to 6,361.07, 9,542.61 and 3,074.40

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Solution

The fourth proportional to 6,361.07, 9,542.61 and 3,074.40 is: 4,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.07 : 9,542.61 = 3,074.40 : x
  2. Step 2: Convert to fraction form
    6,361.07/9,542.61 = 3,074.40/x
  3. Step 3: Cross multiply
    6,361.07x = 9,542.61 × 3,074.40
  4. Step 4: Simplify right side
    6,361.07x = 29,337,800.18
  5. Step 5: Solve for x
    x = 29,337,800.18/6,361.07
  6. Step 6: Final answer
    x = 4,612.09

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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.