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Finding the Fourth Proportional to 6,136.13, 9,245.96 and 5,464.76

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Solution

The fourth proportional to 6,136.13, 9,245.96 and 5,464.76 is: 8,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.13 : 9,245.96 = 5,464.76 : x
  2. Step 2: Convert to fraction form
    6,136.13/9,245.96 = 5,464.76/x
  3. Step 3: Cross multiply
    6,136.13x = 9,245.96 × 5,464.76
  4. Step 4: Simplify right side
    6,136.13x = 50,526,948.16
  5. Step 5: Solve for x
    x = 50,526,948.16/6,136.13
  6. Step 6: Final answer
    x = 8,234.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.