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Finding the Fourth Proportional to 6,563.12, 9,833.73 and 4,611.83

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Solution

The fourth proportional to 6,563.12, 9,833.73 and 4,611.83 is: 6,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.12 : 9,833.73 = 4,611.83 : x
  2. Step 2: Convert to fraction form
    6,563.12/9,833.73 = 4,611.83/x
  3. Step 3: Cross multiply
    6,563.12x = 9,833.73 × 4,611.83
  4. Step 4: Simplify right side
    6,563.12x = 45,351,467.97
  5. Step 5: Solve for x
    x = 45,351,467.97/6,563.12
  6. Step 6: Final answer
    x = 6,910.05

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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.