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Finding the Fourth Proportional to 9,238.55, 13,857.73 and 2,313.05

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Solution

The fourth proportional to 9,238.55, 13,857.73 and 2,313.05 is: 3,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.55 : 13,857.73 = 2,313.05 : x
  2. Step 2: Convert to fraction form
    9,238.55/13,857.73 = 2,313.05/x
  3. Step 3: Cross multiply
    9,238.55x = 13,857.73 × 2,313.05
  4. Step 4: Simplify right side
    9,238.55x = 32,053,547.31
  5. Step 5: Solve for x
    x = 32,053,547.31/9,238.55
  6. Step 6: Final answer
    x = 3,469.54

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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.