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Finding the Fourth Proportional to 6,538.66, 9,791.84 and 3,421.29

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Solution

The fourth proportional to 6,538.66, 9,791.84 and 3,421.29 is: 5,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.66 : 9,791.84 = 3,421.29 : x
  2. Step 2: Convert to fraction form
    6,538.66/9,791.84 = 3,421.29/x
  3. Step 3: Cross multiply
    6,538.66x = 9,791.84 × 3,421.29
  4. Step 4: Simplify right side
    6,538.66x = 33,500,724.27
  5. Step 5: Solve for x
    x = 33,500,724.27/6,538.66
  6. Step 6: Final answer
    x = 5,123.48

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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.