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Finding the Fourth Proportional to 6,736.81, 9,296.37 and 3,904.31

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Solution

The fourth proportional to 6,736.81, 9,296.37 and 3,904.31 is: 5,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.81 : 9,296.37 = 3,904.31 : x
  2. Step 2: Convert to fraction form
    6,736.81/9,296.37 = 3,904.31/x
  3. Step 3: Cross multiply
    6,736.81x = 9,296.37 × 3,904.31
  4. Step 4: Simplify right side
    6,736.81x = 36,295,900.19
  5. Step 5: Solve for x
    x = 36,295,900.19/6,736.81
  6. Step 6: Final answer
    x = 5,387.69

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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.