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Finding the Fourth Proportional to 6,846.12, 9,447.69 and 4,012.86

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Solution

The fourth proportional to 6,846.12, 9,447.69 and 4,012.86 is: 5,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.12 : 9,447.69 = 4,012.86 : x
  2. Step 2: Convert to fraction form
    6,846.12/9,447.69 = 4,012.86/x
  3. Step 3: Cross multiply
    6,846.12x = 9,447.69 × 4,012.86
  4. Step 4: Simplify right side
    6,846.12x = 37,912,257.29
  5. Step 5: Solve for x
    x = 37,912,257.29/6,846.12
  6. Step 6: Final answer
    x = 5,537.77

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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.