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Finding the Fourth Proportional to 6,455.30, 9,683.96 and 2,757.55

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Solution

The fourth proportional to 6,455.30, 9,683.96 and 2,757.55 is: 4,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.30 : 9,683.96 = 2,757.55 : x
  2. Step 2: Convert to fraction form
    6,455.30/9,683.96 = 2,757.55/x
  3. Step 3: Cross multiply
    6,455.30x = 9,683.96 × 2,757.55
  4. Step 4: Simplify right side
    6,455.30x = 26,704,003.90
  5. Step 5: Solve for x
    x = 26,704,003.90/6,455.30
  6. Step 6: Final answer
    x = 4,136.76

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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.