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Finding the Fourth Proportional to 6,472.44, 9,701.73 and 3,349.30

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Solution

The fourth proportional to 6,472.44, 9,701.73 and 3,349.30 is: 5,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.44 : 9,701.73 = 3,349.30 : x
  2. Step 2: Convert to fraction form
    6,472.44/9,701.73 = 3,349.30/x
  3. Step 3: Cross multiply
    6,472.44x = 9,701.73 × 3,349.30
  4. Step 4: Simplify right side
    6,472.44x = 32,494,004.29
  5. Step 5: Solve for x
    x = 32,494,004.29/6,472.44
  6. Step 6: Final answer
    x = 5,020.36

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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.