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Finding the Fourth Proportional to 6,521.24, 9,003.21 and 4,286.86

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Solution

The fourth proportional to 6,521.24, 9,003.21 and 4,286.86 is: 5,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.24 : 9,003.21 = 4,286.86 : x
  2. Step 2: Convert to fraction form
    6,521.24/9,003.21 = 4,286.86/x
  3. Step 3: Cross multiply
    6,521.24x = 9,003.21 × 4,286.86
  4. Step 4: Simplify right side
    6,521.24x = 38,595,500.82
  5. Step 5: Solve for x
    x = 38,595,500.82/6,521.24
  6. Step 6: Final answer
    x = 5,918.43

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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.