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Finding the Fourth Proportional to 9,194.58, 12,689.82 and 8,631.54

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Solution

The fourth proportional to 9,194.58, 12,689.82 and 8,631.54 is: 11,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.58 : 12,689.82 = 8,631.54 : x
  2. Step 2: Convert to fraction form
    9,194.58/12,689.82 = 8,631.54/x
  3. Step 3: Cross multiply
    9,194.58x = 12,689.82 × 8,631.54
  4. Step 4: Simplify right side
    9,194.58x = 109,532,688.92
  5. Step 5: Solve for x
    x = 109,532,688.92/9,194.58
  6. Step 6: Final answer
    x = 11,912.75

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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.