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Finding the Fourth Proportional to 9,469.97, 14,206.99 and 2,895.94

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Solution

The fourth proportional to 9,469.97, 14,206.99 and 2,895.94 is: 4,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.97 : 14,206.99 = 2,895.94 : x
  2. Step 2: Convert to fraction form
    9,469.97/14,206.99 = 2,895.94/x
  3. Step 3: Cross multiply
    9,469.97x = 14,206.99 × 2,895.94
  4. Step 4: Simplify right side
    9,469.97x = 41,142,590.62
  5. Step 5: Solve for x
    x = 41,142,590.62/9,469.97
  6. Step 6: Final answer
    x = 4,344.53

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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.