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Finding the Fourth Proportional to 9,057.75, 13,576.66 and 6,829.44

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Solution

The fourth proportional to 9,057.75, 13,576.66 and 6,829.44 is: 10,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.75 : 13,576.66 = 6,829.44 : x
  2. Step 2: Convert to fraction form
    9,057.75/13,576.66 = 6,829.44/x
  3. Step 3: Cross multiply
    9,057.75x = 13,576.66 × 6,829.44
  4. Step 4: Simplify right side
    9,057.75x = 92,720,987.02
  5. Step 5: Solve for x
    x = 92,720,987.02/9,057.75
  6. Step 6: Final answer
    x = 10,236.64

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Why These Related Problems?

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