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Finding the Fourth Proportional to 6,523.71, 9,003.09 and 3,691.35

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Solution

The fourth proportional to 6,523.71, 9,003.09 and 3,691.35 is: 5,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.71 : 9,003.09 = 3,691.35 : x
  2. Step 2: Convert to fraction form
    6,523.71/9,003.09 = 3,691.35/x
  3. Step 3: Cross multiply
    6,523.71x = 9,003.09 × 3,691.35
  4. Step 4: Simplify right side
    6,523.71x = 33,233,556.27
  5. Step 5: Solve for x
    x = 33,233,556.27/6,523.71
  6. Step 6: Final answer
    x = 5,094.27

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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.