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Finding the Fourth Proportional to 6,518.66, 9,777 and 2,136.02

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Solution

The fourth proportional to 6,518.66, 9,777 and 2,136.02 is: 3,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.66 : 9,777 = 2,136.02 : x
  2. Step 2: Convert to fraction form
    6,518.66/9,777 = 2,136.02/x
  3. Step 3: Cross multiply
    6,518.66x = 9,777 × 2,136.02
  4. Step 4: Simplify right side
    6,518.66x = 20,883,867.54
  5. Step 5: Solve for x
    x = 20,883,867.54/6,518.66
  6. Step 6: Final answer
    x = 3,203.71

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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.