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Finding the Fourth Proportional to 6,305.27, 9,452.27 and 2,605.14

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Solution

The fourth proportional to 6,305.27, 9,452.27 and 2,605.14 is: 3,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.27 : 9,452.27 = 2,605.14 : x
  2. Step 2: Convert to fraction form
    6,305.27/9,452.27 = 2,605.14/x
  3. Step 3: Cross multiply
    6,305.27x = 9,452.27 × 2,605.14
  4. Step 4: Simplify right side
    6,305.27x = 24,624,478.53
  5. Step 5: Solve for x
    x = 24,624,478.53/6,305.27
  6. Step 6: Final answer
    x = 3,905.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.