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Finding the Fourth Proportional to 9,234.78, 13,857.69 and 3,391.98

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Solution

The fourth proportional to 9,234.78, 13,857.69 and 3,391.98 is: 5,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.78 : 13,857.69 = 3,391.98 : x
  2. Step 2: Convert to fraction form
    9,234.78/13,857.69 = 3,391.98/x
  3. Step 3: Cross multiply
    9,234.78x = 13,857.69 × 3,391.98
  4. Step 4: Simplify right side
    9,234.78x = 47,005,007.33
  5. Step 5: Solve for x
    x = 47,005,007.33/9,234.78
  6. Step 6: Final answer
    x = 5,090.00

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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.