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Finding the Fourth Proportional to 6,214.56, 8,576.12 and 3,562.12

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Solution

The fourth proportional to 6,214.56, 8,576.12 and 3,562.12 is: 4,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.56 : 8,576.12 = 3,562.12 : x
  2. Step 2: Convert to fraction form
    6,214.56/8,576.12 = 3,562.12/x
  3. Step 3: Cross multiply
    6,214.56x = 8,576.12 × 3,562.12
  4. Step 4: Simplify right side
    6,214.56x = 30,549,150.76
  5. Step 5: Solve for x
    x = 30,549,150.76/6,214.56
  6. Step 6: Final answer
    x = 4,915.74

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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.