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Finding the Fourth Proportional to 9,469, 14,200.78 and 2,893.64

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Solution

The fourth proportional to 9,469, 14,200.78 and 2,893.64 is: 4,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469 : 14,200.78 = 2,893.64 : x
  2. Step 2: Convert to fraction form
    9,469/14,200.78 = 2,893.64/x
  3. Step 3: Cross multiply
    9,469x = 14,200.78 × 2,893.64
  4. Step 4: Simplify right side
    9,469x = 41,091,945.04
  5. Step 5: Solve for x
    x = 41,091,945.04/9,469
  6. Step 6: Final answer
    x = 4,339.63

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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.