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Finding the Fourth Proportional to 9,942.77, 14,912.46 and 3,279.30

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Solution

The fourth proportional to 9,942.77, 14,912.46 and 3,279.30 is: 4,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.77 : 14,912.46 = 3,279.30 : x
  2. Step 2: Convert to fraction form
    9,942.77/14,912.46 = 3,279.30/x
  3. Step 3: Cross multiply
    9,942.77x = 14,912.46 × 3,279.30
  4. Step 4: Simplify right side
    9,942.77x = 48,902,430.08
  5. Step 5: Solve for x
    x = 48,902,430.08/9,942.77
  6. Step 6: Final answer
    x = 4,918.39

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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.