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Finding the Fourth Proportional to 6,736.41, 9,296.01 and 3,752.09

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Solution

The fourth proportional to 6,736.41, 9,296.01 and 3,752.09 is: 5,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.41 : 9,296.01 = 3,752.09 : x
  2. Step 2: Convert to fraction form
    6,736.41/9,296.01 = 3,752.09/x
  3. Step 3: Cross multiply
    6,736.41x = 9,296.01 × 3,752.09
  4. Step 4: Simplify right side
    6,736.41x = 34,879,466.16
  5. Step 5: Solve for x
    x = 34,879,466.16/6,736.41
  6. Step 6: Final answer
    x = 5,177.75

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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.