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Finding the Fourth Proportional to 6,214.77, 8,576.82 and 3,562.83

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Solution

The fourth proportional to 6,214.77, 8,576.82 and 3,562.83 is: 4,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.77 : 8,576.82 = 3,562.83 : x
  2. Step 2: Convert to fraction form
    6,214.77/8,576.82 = 3,562.83/x
  3. Step 3: Cross multiply
    6,214.77x = 8,576.82 × 3,562.83
  4. Step 4: Simplify right side
    6,214.77x = 30,557,751.60
  5. Step 5: Solve for x
    x = 30,557,751.60/6,214.77
  6. Step 6: Final answer
    x = 4,916.96

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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.