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Finding the Fourth Proportional to 6,163.75, 9,242.38 and 3,043.63

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Solution

The fourth proportional to 6,163.75, 9,242.38 and 3,043.63 is: 4,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.75 : 9,242.38 = 3,043.63 : x
  2. Step 2: Convert to fraction form
    6,163.75/9,242.38 = 3,043.63/x
  3. Step 3: Cross multiply
    6,163.75x = 9,242.38 × 3,043.63
  4. Step 4: Simplify right side
    6,163.75x = 28,130,385.04
  5. Step 5: Solve for x
    x = 28,130,385.04/6,163.75
  6. Step 6: Final answer
    x = 4,563.84

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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.