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Finding the Fourth Proportional to 8,361.62, 12,542.69 and 3,097.94

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Solution

The fourth proportional to 8,361.62, 12,542.69 and 3,097.94 is: 4,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.62 : 12,542.69 = 3,097.94 : x
  2. Step 2: Convert to fraction form
    8,361.62/12,542.69 = 3,097.94/x
  3. Step 3: Cross multiply
    8,361.62x = 12,542.69 × 3,097.94
  4. Step 4: Simplify right side
    8,361.62x = 38,856,422.86
  5. Step 5: Solve for x
    x = 38,856,422.86/8,361.62
  6. Step 6: Final answer
    x = 4,647.00

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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.