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Finding the Fourth Proportional to 9,696.27, 14,546.57 and 4,149.87

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Solution

The fourth proportional to 9,696.27, 14,546.57 and 4,149.87 is: 6,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.27 : 14,546.57 = 4,149.87 : x
  2. Step 2: Convert to fraction form
    9,696.27/14,546.57 = 4,149.87/x
  3. Step 3: Cross multiply
    9,696.27x = 14,546.57 × 4,149.87
  4. Step 4: Simplify right side
    9,696.27x = 60,366,353.70
  5. Step 5: Solve for x
    x = 60,366,353.70/9,696.27
  6. Step 6: Final answer
    x = 6,225.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.