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Finding the Fourth Proportional to 9,198.54, 12,689.67 and 5,660.46

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Solution

The fourth proportional to 9,198.54, 12,689.67 and 5,660.46 is: 7,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.54 : 12,689.67 = 5,660.46 : x
  2. Step 2: Convert to fraction form
    9,198.54/12,689.67 = 5,660.46/x
  3. Step 3: Cross multiply
    9,198.54x = 12,689.67 × 5,660.46
  4. Step 4: Simplify right side
    9,198.54x = 71,829,369.45
  5. Step 5: Solve for x
    x = 71,829,369.45/9,198.54
  6. Step 6: Final answer
    x = 7,808.78

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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.