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Finding the Fourth Proportional to 6,524.07, 9,003.66 and 3,691.44

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Solution

The fourth proportional to 6,524.07, 9,003.66 and 3,691.44 is: 5,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.07 : 9,003.66 = 3,691.44 : x
  2. Step 2: Convert to fraction form
    6,524.07/9,003.66 = 3,691.44/x
  3. Step 3: Cross multiply
    6,524.07x = 9,003.66 × 3,691.44
  4. Step 4: Simplify right side
    6,524.07x = 33,236,470.67
  5. Step 5: Solve for x
    x = 33,236,470.67/6,524.07
  6. Step 6: Final answer
    x = 5,094.44

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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.