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Finding the Fourth Proportional to 9,198.44, 12,693.76 and 5,006.68

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Solution

The fourth proportional to 9,198.44, 12,693.76 and 5,006.68 is: 6,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.44 : 12,693.76 = 5,006.68 : x
  2. Step 2: Convert to fraction form
    9,198.44/12,693.76 = 5,006.68/x
  3. Step 3: Cross multiply
    9,198.44x = 12,693.76 × 5,006.68
  4. Step 4: Simplify right side
    9,198.44x = 63,553,594.32
  5. Step 5: Solve for x
    x = 63,553,594.32/9,198.44
  6. Step 6: Final answer
    x = 6,909.17

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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.