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Finding the Fourth Proportional to 6,834.58, 9,431.79 and 4,001.33

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Solution

The fourth proportional to 6,834.58, 9,431.79 and 4,001.33 is: 5,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.58 : 9,431.79 = 4,001.33 : x
  2. Step 2: Convert to fraction form
    6,834.58/9,431.79 = 4,001.33/x
  3. Step 3: Cross multiply
    6,834.58x = 9,431.79 × 4,001.33
  4. Step 4: Simplify right side
    6,834.58x = 37,739,704.28
  5. Step 5: Solve for x
    x = 37,739,704.28/6,834.58
  6. Step 6: Final answer
    x = 5,521.88

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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.