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Finding the Fourth Proportional to 9,198.60, 12,696.75 and 6,012.36

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Solution

The fourth proportional to 9,198.60, 12,696.75 and 6,012.36 is: 8,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.60 : 12,696.75 = 6,012.36 : x
  2. Step 2: Convert to fraction form
    9,198.60/12,696.75 = 6,012.36/x
  3. Step 3: Cross multiply
    9,198.60x = 12,696.75 × 6,012.36
  4. Step 4: Simplify right side
    9,198.60x = 76,337,431.83
  5. Step 5: Solve for x
    x = 76,337,431.83/9,198.60
  6. Step 6: Final answer
    x = 8,298.81

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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.