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Finding the Fourth Proportional to 9,452.40, 14,183.21 and 6,696.78

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Solution

The fourth proportional to 9,452.40, 14,183.21 and 6,696.78 is: 10,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.40 : 14,183.21 = 6,696.78 : x
  2. Step 2: Convert to fraction form
    9,452.40/14,183.21 = 6,696.78/x
  3. Step 3: Cross multiply
    9,452.40x = 14,183.21 × 6,696.78
  4. Step 4: Simplify right side
    9,452.40x = 94,981,837.06
  5. Step 5: Solve for x
    x = 94,981,837.06/9,452.40
  6. Step 6: Final answer
    x = 10,048.44

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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.