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Finding the Fourth Proportional to 6,732.63, 9,291.75 and 3,940.47

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Solution

The fourth proportional to 6,732.63, 9,291.75 and 3,940.47 is: 5,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.63 : 9,291.75 = 3,940.47 : x
  2. Step 2: Convert to fraction form
    6,732.63/9,291.75 = 3,940.47/x
  3. Step 3: Cross multiply
    6,732.63x = 9,291.75 × 3,940.47
  4. Step 4: Simplify right side
    6,732.63x = 36,613,795.96
  5. Step 5: Solve for x
    x = 36,613,795.96/6,732.63
  6. Step 6: Final answer
    x = 5,438.26

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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.