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Finding the Fourth Proportional to 6,521.26, 9,777.03 and 3,923.59

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Solution

The fourth proportional to 6,521.26, 9,777.03 and 3,923.59 is: 5,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.26 : 9,777.03 = 3,923.59 : x
  2. Step 2: Convert to fraction form
    6,521.26/9,777.03 = 3,923.59/x
  3. Step 3: Cross multiply
    6,521.26x = 9,777.03 × 3,923.59
  4. Step 4: Simplify right side
    6,521.26x = 38,361,057.14
  5. Step 5: Solve for x
    x = 38,361,057.14/6,521.26
  6. Step 6: Final answer
    x = 5,882.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.