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Finding the Fourth Proportional to 6,214.68, 8,576.28 and 3,562.65

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Solution

The fourth proportional to 6,214.68, 8,576.28 and 3,562.65 is: 4,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.68 : 8,576.28 = 3,562.65 : x
  2. Step 2: Convert to fraction form
    6,214.68/8,576.28 = 3,562.65/x
  3. Step 3: Cross multiply
    6,214.68x = 8,576.28 × 3,562.65
  4. Step 4: Simplify right side
    6,214.68x = 30,554,283.94
  5. Step 5: Solve for x
    x = 30,554,283.94/6,214.68
  6. Step 6: Final answer
    x = 4,916.47

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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.