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Finding the Fourth Proportional to 10,034.92, 13,846.44 and 6,256.92

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Solution

The fourth proportional to 10,034.92, 13,846.44 and 6,256.92 is: 8,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.92 : 13,846.44 = 6,256.92 : x
  2. Step 2: Convert to fraction form
    10,034.92/13,846.44 = 6,256.92/x
  3. Step 3: Cross multiply
    10,034.92x = 13,846.44 × 6,256.92
  4. Step 4: Simplify right side
    10,034.92x = 86,636,067.36
  5. Step 5: Solve for x
    x = 86,636,067.36/10,034.92
  6. Step 6: Final answer
    x = 8,633.46

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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.