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Finding the Fourth Proportional to 6,351.44, 9,541.80 and 6,089

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Solution

The fourth proportional to 6,351.44, 9,541.80 and 6,089 is: 9,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.44 : 9,541.80 = 6,089 : x
  2. Step 2: Convert to fraction form
    6,351.44/9,541.80 = 6,089/x
  3. Step 3: Cross multiply
    6,351.44x = 9,541.80 × 6,089
  4. Step 4: Simplify right side
    6,351.44x = 58,100,020.20
  5. Step 5: Solve for x
    x = 58,100,020.20/6,351.44
  6. Step 6: Final answer
    x = 9,147.54

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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.