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Finding the Fourth Proportional to 9,350, 14,025.36 and 3,194

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Solution

The fourth proportional to 9,350, 14,025.36 and 3,194 is: 4,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350 : 14,025.36 = 3,194 : x
  2. Step 2: Convert to fraction form
    9,350/14,025.36 = 3,194/x
  3. Step 3: Cross multiply
    9,350x = 14,025.36 × 3,194
  4. Step 4: Simplify right side
    9,350x = 44,796,999.84
  5. Step 5: Solve for x
    x = 44,796,999.84/9,350
  6. Step 6: Final answer
    x = 4,791.12

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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.