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Finding the Fourth Proportional to 6,134.36, 9,192.71 and 3,496.38

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Solution

The fourth proportional to 6,134.36, 9,192.71 and 3,496.38 is: 5,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.36 : 9,192.71 = 3,496.38 : x
  2. Step 2: Convert to fraction form
    6,134.36/9,192.71 = 3,496.38/x
  3. Step 3: Cross multiply
    6,134.36x = 9,192.71 × 3,496.38
  4. Step 4: Simplify right side
    6,134.36x = 32,141,189.91
  5. Step 5: Solve for x
    x = 32,141,189.91/6,134.36
  6. Step 6: Final answer
    x = 5,239.54

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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.