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Finding the Fourth Proportional to 6,213.93, 8,576.46 and 3,563.13

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Solution

The fourth proportional to 6,213.93, 8,576.46 and 3,563.13 is: 4,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.93 : 8,576.46 = 3,563.13 : x
  2. Step 2: Convert to fraction form
    6,213.93/8,576.46 = 3,563.13/x
  3. Step 3: Cross multiply
    6,213.93x = 8,576.46 × 3,563.13
  4. Step 4: Simplify right side
    6,213.93x = 30,559,041.92
  5. Step 5: Solve for x
    x = 30,559,041.92/6,213.93
  6. Step 6: Final answer
    x = 4,917.83

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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.