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Finding the Fourth Proportional to 9,694.74, 14,542.17 and 3,851.37

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Solution

The fourth proportional to 9,694.74, 14,542.17 and 3,851.37 is: 5,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.74 : 14,542.17 = 3,851.37 : x
  2. Step 2: Convert to fraction form
    9,694.74/14,542.17 = 3,851.37/x
  3. Step 3: Cross multiply
    9,694.74x = 14,542.17 × 3,851.37
  4. Step 4: Simplify right side
    9,694.74x = 56,007,277.27
  5. Step 5: Solve for x
    x = 56,007,277.27/9,694.74
  6. Step 6: Final answer
    x = 5,777.08

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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.