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Finding the Fourth Proportional to 9,961.50, 14,942.24 and 3,722

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Solution

The fourth proportional to 9,961.50, 14,942.24 and 3,722 is: 5,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.50 : 14,942.24 = 3,722 : x
  2. Step 2: Convert to fraction form
    9,961.50/14,942.24 = 3,722/x
  3. Step 3: Cross multiply
    9,961.50x = 14,942.24 × 3,722
  4. Step 4: Simplify right side
    9,961.50x = 55,615,017.28
  5. Step 5: Solve for x
    x = 55,615,017.28/9,961.50
  6. Step 6: Final answer
    x = 5,583.00

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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.