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Finding the Fourth Proportional to 6,846.76, 9,450.12 and 5,725.78

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Solution

The fourth proportional to 6,846.76, 9,450.12 and 5,725.78 is: 7,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.76 : 9,450.12 = 5,725.78 : x
  2. Step 2: Convert to fraction form
    6,846.76/9,450.12 = 5,725.78/x
  3. Step 3: Cross multiply
    6,846.76x = 9,450.12 × 5,725.78
  4. Step 4: Simplify right side
    6,846.76x = 54,109,308.09
  5. Step 5: Solve for x
    x = 54,109,308.09/6,846.76
  6. Step 6: Final answer
    x = 7,902.91

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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.