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Finding the Fourth Proportional to 9,333.60, 13,996.24 and 3,785.42

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Solution

The fourth proportional to 9,333.60, 13,996.24 and 3,785.42 is: 5,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.60 : 13,996.24 = 3,785.42 : x
  2. Step 2: Convert to fraction form
    9,333.60/13,996.24 = 3,785.42/x
  3. Step 3: Cross multiply
    9,333.60x = 13,996.24 × 3,785.42
  4. Step 4: Simplify right side
    9,333.60x = 52,981,646.82
  5. Step 5: Solve for x
    x = 52,981,646.82/9,333.60
  6. Step 6: Final answer
    x = 5,676.44

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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.