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Finding the Fourth Proportional to 6,214.70, 8,577.96 and 3,855.44

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Solution

The fourth proportional to 6,214.70, 8,577.96 and 3,855.44 is: 5,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.70 : 8,577.96 = 3,855.44 : x
  2. Step 2: Convert to fraction form
    6,214.70/8,577.96 = 3,855.44/x
  3. Step 3: Cross multiply
    6,214.70x = 8,577.96 × 3,855.44
  4. Step 4: Simplify right side
    6,214.70x = 33,071,810.10
  5. Step 5: Solve for x
    x = 33,071,810.10/6,214.70
  6. Step 6: Final answer
    x = 5,321.55

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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.