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Finding the Fourth Proportional to 9,198.72, 12,661.20 and 7,689.96

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Solution

The fourth proportional to 9,198.72, 12,661.20 and 7,689.96 is: 10,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.72 : 12,661.20 = 7,689.96 : x
  2. Step 2: Convert to fraction form
    9,198.72/12,661.20 = 7,689.96/x
  3. Step 3: Cross multiply
    9,198.72x = 12,661.20 × 7,689.96
  4. Step 4: Simplify right side
    9,198.72x = 97,364,121.55
  5. Step 5: Solve for x
    x = 97,364,121.55/9,198.72
  6. Step 6: Final answer
    x = 10,584.53

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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.