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Finding the Fourth Proportional to 6,392.46, 9,576.38 and 3,920.06

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Solution

The fourth proportional to 6,392.46, 9,576.38 and 3,920.06 is: 5,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.46 : 9,576.38 = 3,920.06 : x
  2. Step 2: Convert to fraction form
    6,392.46/9,576.38 = 3,920.06/x
  3. Step 3: Cross multiply
    6,392.46x = 9,576.38 × 3,920.06
  4. Step 4: Simplify right side
    6,392.46x = 37,539,984.18
  5. Step 5: Solve for x
    x = 37,539,984.18/6,392.46
  6. Step 6: Final answer
    x = 5,872.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.