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Finding the Fourth Proportional to 9,236.50, 13,857.21 and 3,313.98

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Solution

The fourth proportional to 9,236.50, 13,857.21 and 3,313.98 is: 4,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.50 : 13,857.21 = 3,313.98 : x
  2. Step 2: Convert to fraction form
    9,236.50/13,857.21 = 3,313.98/x
  3. Step 3: Cross multiply
    9,236.50x = 13,857.21 × 3,313.98
  4. Step 4: Simplify right side
    9,236.50x = 45,922,516.80
  5. Step 5: Solve for x
    x = 45,922,516.80/9,236.50
  6. Step 6: Final answer
    x = 4,971.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.