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Finding the Fourth Proportional to 6,213.94, 9,321.37 and 1,771.52

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Solution

The fourth proportional to 6,213.94, 9,321.37 and 1,771.52 is: 2,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.94 : 9,321.37 = 1,771.52 : x
  2. Step 2: Convert to fraction form
    6,213.94/9,321.37 = 1,771.52/x
  3. Step 3: Cross multiply
    6,213.94x = 9,321.37 × 1,771.52
  4. Step 4: Simplify right side
    6,213.94x = 16,512,984.52
  5. Step 5: Solve for x
    x = 16,512,984.52/6,213.94
  6. Step 6: Final answer
    x = 2,657.41

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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.