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Finding the Fourth Proportional to 6,462.30, 9,693.72 and 3,859.50

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Solution

The fourth proportional to 6,462.30, 9,693.72 and 3,859.50 is: 5,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.30 : 9,693.72 = 3,859.50 : x
  2. Step 2: Convert to fraction form
    6,462.30/9,693.72 = 3,859.50/x
  3. Step 3: Cross multiply
    6,462.30x = 9,693.72 × 3,859.50
  4. Step 4: Simplify right side
    6,462.30x = 37,412,912.34
  5. Step 5: Solve for x
    x = 37,412,912.34/6,462.30
  6. Step 6: Final answer
    x = 5,789.41

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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.