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Finding the Fourth Proportional to 9,198.20, 12,696.18 and 6,011.98

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Solution

The fourth proportional to 9,198.20, 12,696.18 and 6,011.98 is: 8,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.20 : 12,696.18 = 6,011.98 : x
  2. Step 2: Convert to fraction form
    9,198.20/12,696.18 = 6,011.98/x
  3. Step 3: Cross multiply
    9,198.20x = 12,696.18 × 6,011.98
  4. Step 4: Simplify right side
    9,198.20x = 76,329,180.24
  5. Step 5: Solve for x
    x = 76,329,180.24/9,198.20
  6. Step 6: Final answer
    x = 8,298.27

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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.