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Finding the Fourth Proportional to 9,238.98, 13,857.50 and 2,313.48

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Solution

The fourth proportional to 9,238.98, 13,857.50 and 2,313.48 is: 3,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.98 : 13,857.50 = 2,313.48 : x
  2. Step 2: Convert to fraction form
    9,238.98/13,857.50 = 2,313.48/x
  3. Step 3: Cross multiply
    9,238.98x = 13,857.50 × 2,313.48
  4. Step 4: Simplify right side
    9,238.98x = 32,059,049.10
  5. Step 5: Solve for x
    x = 32,059,049.10/9,238.98
  6. Step 6: Final answer
    x = 3,469.98

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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.