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Finding the Fourth Proportional to 9,694.85, 14,542.31 and 3,851.44

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Solution

The fourth proportional to 9,694.85, 14,542.31 and 3,851.44 is: 5,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.85 : 14,542.31 = 3,851.44 : x
  2. Step 2: Convert to fraction form
    9,694.85/14,542.31 = 3,851.44/x
  3. Step 3: Cross multiply
    9,694.85x = 14,542.31 × 3,851.44
  4. Step 4: Simplify right side
    9,694.85x = 56,008,807.70
  5. Step 5: Solve for x
    x = 56,008,807.70/9,694.85
  6. Step 6: Final answer
    x = 5,777.17

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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.