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Finding the Fourth Proportional to 6,336.14, 8,741.70 and 3,817.29

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Solution

The fourth proportional to 6,336.14, 8,741.70 and 3,817.29 is: 5,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.14 : 8,741.70 = 3,817.29 : x
  2. Step 2: Convert to fraction form
    6,336.14/8,741.70 = 3,817.29/x
  3. Step 3: Cross multiply
    6,336.14x = 8,741.70 × 3,817.29
  4. Step 4: Simplify right side
    6,336.14x = 33,369,636.77
  5. Step 5: Solve for x
    x = 33,369,636.77/6,336.14
  6. Step 6: Final answer
    x = 5,266.56

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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.