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Finding the Fourth Proportional to 9,647.92, 14,469 and 3,406.78

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Solution

The fourth proportional to 9,647.92, 14,469 and 3,406.78 is: 5,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.92 : 14,469 = 3,406.78 : x
  2. Step 2: Convert to fraction form
    9,647.92/14,469 = 3,406.78/x
  3. Step 3: Cross multiply
    9,647.92x = 14,469 × 3,406.78
  4. Step 4: Simplify right side
    9,647.92x = 49,292,699.82
  5. Step 5: Solve for x
    x = 49,292,699.82/9,647.92
  6. Step 6: Final answer
    x = 5,109.15

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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.