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Finding the Fourth Proportional to 9,198.16, 12,693.30 and 5,006.44

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Solution

The fourth proportional to 9,198.16, 12,693.30 and 5,006.44 is: 6,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.16 : 12,693.30 = 5,006.44 : x
  2. Step 2: Convert to fraction form
    9,198.16/12,693.30 = 5,006.44/x
  3. Step 3: Cross multiply
    9,198.16x = 12,693.30 × 5,006.44
  4. Step 4: Simplify right side
    9,198.16x = 63,548,244.85
  5. Step 5: Solve for x
    x = 63,548,244.85/9,198.16
  6. Step 6: Final answer
    x = 6,908.80

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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.