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Finding the Fourth Proportional to 6,222.38, 9,333.46 and 1,542.38

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Solution

The fourth proportional to 6,222.38, 9,333.46 and 1,542.38 is: 2,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.38 : 9,333.46 = 1,542.38 : x
  2. Step 2: Convert to fraction form
    6,222.38/9,333.46 = 1,542.38/x
  3. Step 3: Cross multiply
    6,222.38x = 9,333.46 × 1,542.38
  4. Step 4: Simplify right side
    6,222.38x = 14,395,742.03
  5. Step 5: Solve for x
    x = 14,395,742.03/6,222.38
  6. Step 6: Final answer
    x = 2,313.54

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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.