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Finding the Fourth Proportional to 9,198.78, 12,694.44 and 5,007.03

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Solution

The fourth proportional to 9,198.78, 12,694.44 and 5,007.03 is: 6,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.78 : 12,694.44 = 5,007.03 : x
  2. Step 2: Convert to fraction form
    9,198.78/12,694.44 = 5,007.03/x
  3. Step 3: Cross multiply
    9,198.78x = 12,694.44 × 5,007.03
  4. Step 4: Simplify right side
    9,198.78x = 63,561,441.91
  5. Step 5: Solve for x
    x = 63,561,441.91/9,198.78
  6. Step 6: Final answer
    x = 6,909.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.