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Finding the Fourth Proportional to 9,096.65, 12,546.66 and 6,264.92

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Solution

The fourth proportional to 9,096.65, 12,546.66 and 6,264.92 is: 8,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.65 : 12,546.66 = 6,264.92 : x
  2. Step 2: Convert to fraction form
    9,096.65/12,546.66 = 6,264.92/x
  3. Step 3: Cross multiply
    9,096.65x = 12,546.66 × 6,264.92
  4. Step 4: Simplify right side
    9,096.65x = 78,603,789.84
  5. Step 5: Solve for x
    x = 78,603,789.84/9,096.65
  6. Step 6: Final answer
    x = 8,640.96

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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.