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Finding the Fourth Proportional to 6,201.36, 9,302.94 and 3,278.88

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Solution

The fourth proportional to 6,201.36, 9,302.94 and 3,278.88 is: 4,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.36 : 9,302.94 = 3,278.88 : x
  2. Step 2: Convert to fraction form
    6,201.36/9,302.94 = 3,278.88/x
  3. Step 3: Cross multiply
    6,201.36x = 9,302.94 × 3,278.88
  4. Step 4: Simplify right side
    6,201.36x = 30,503,223.91
  5. Step 5: Solve for x
    x = 30,503,223.91/6,201.36
  6. Step 6: Final answer
    x = 4,918.80

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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.