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Finding the Fourth Proportional to 6,563.72, 9,849.36 and 3,932.03

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Solution

The fourth proportional to 6,563.72, 9,849.36 and 3,932.03 is: 5,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.72 : 9,849.36 = 3,932.03 : x
  2. Step 2: Convert to fraction form
    6,563.72/9,849.36 = 3,932.03/x
  3. Step 3: Cross multiply
    6,563.72x = 9,849.36 × 3,932.03
  4. Step 4: Simplify right side
    6,563.72x = 38,727,929.75
  5. Step 5: Solve for x
    x = 38,727,929.75/6,563.72
  6. Step 6: Final answer
    x = 5,900.31

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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.