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Finding the Fourth Proportional to 6,269.46, 9,404.49 and 5,171.79

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Solution

The fourth proportional to 6,269.46, 9,404.49 and 5,171.79 is: 7,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.46 : 9,404.49 = 5,171.79 : x
  2. Step 2: Convert to fraction form
    6,269.46/9,404.49 = 5,171.79/x
  3. Step 3: Cross multiply
    6,269.46x = 9,404.49 × 5,171.79
  4. Step 4: Simplify right side
    6,269.46x = 48,638,047.34
  5. Step 5: Solve for x
    x = 48,638,047.34/6,269.46
  6. Step 6: Final answer
    x = 7,757.93

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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.