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Finding the Fourth Proportional to 9,409.92, 14,112.82 and 3,857.80

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Solution

The fourth proportional to 9,409.92, 14,112.82 and 3,857.80 is: 5,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.92 : 14,112.82 = 3,857.80 : x
  2. Step 2: Convert to fraction form
    9,409.92/14,112.82 = 3,857.80/x
  3. Step 3: Cross multiply
    9,409.92x = 14,112.82 × 3,857.80
  4. Step 4: Simplify right side
    9,409.92x = 54,444,437.00
  5. Step 5: Solve for x
    x = 54,444,437.00/9,409.92
  6. Step 6: Final answer
    x = 5,785.86

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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.