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Finding the Fourth Proportional to 9,198.76, 12,694.52 and 5,007

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Solution

The fourth proportional to 9,198.76, 12,694.52 and 5,007 is: 6,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.76 : 12,694.52 = 5,007 : x
  2. Step 2: Convert to fraction form
    9,198.76/12,694.52 = 5,007/x
  3. Step 3: Cross multiply
    9,198.76x = 12,694.52 × 5,007
  4. Step 4: Simplify right side
    9,198.76x = 63,561,461.64
  5. Step 5: Solve for x
    x = 63,561,461.64/9,198.76
  6. Step 6: Final answer
    x = 6,909.79

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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.