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Finding the Fourth Proportional to 6,214.24, 8,555.96 and 5,267.96

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Solution

The fourth proportional to 6,214.24, 8,555.96 and 5,267.96 is: 7,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.24 : 8,555.96 = 5,267.96 : x
  2. Step 2: Convert to fraction form
    6,214.24/8,555.96 = 5,267.96/x
  3. Step 3: Cross multiply
    6,214.24x = 8,555.96 × 5,267.96
  4. Step 4: Simplify right side
    6,214.24x = 45,072,455.04
  5. Step 5: Solve for x
    x = 45,072,455.04/6,214.24
  6. Step 6: Final answer
    x = 7,253.09

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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.