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Finding the Fourth Proportional to 6,846.46, 9,449.09 and 3,862.57

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Solution

The fourth proportional to 6,846.46, 9,449.09 and 3,862.57 is: 5,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.46 : 9,449.09 = 3,862.57 : x
  2. Step 2: Convert to fraction form
    6,846.46/9,449.09 = 3,862.57/x
  3. Step 3: Cross multiply
    6,846.46x = 9,449.09 × 3,862.57
  4. Step 4: Simplify right side
    6,846.46x = 36,497,752.25
  5. Step 5: Solve for x
    x = 36,497,752.25/6,846.46
  6. Step 6: Final answer
    x = 5,330.89

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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.