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Finding the Fourth Proportional to 6,846.63, 9,448.35 and 3,863.09

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Solution

The fourth proportional to 6,846.63, 9,448.35 and 3,863.09 is: 5,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.63 : 9,448.35 = 3,863.09 : x
  2. Step 2: Convert to fraction form
    6,846.63/9,448.35 = 3,863.09/x
  3. Step 3: Cross multiply
    6,846.63x = 9,448.35 × 3,863.09
  4. Step 4: Simplify right side
    6,846.63x = 36,499,835.54
  5. Step 5: Solve for x
    x = 36,499,835.54/6,846.63
  6. Step 6: Final answer
    x = 5,331.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.