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Finding the Fourth Proportional to 9,194, 13,793.16 and 3,038

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Solution

The fourth proportional to 9,194, 13,793.16 and 3,038 is: 4,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194 : 13,793.16 = 3,038 : x
  2. Step 2: Convert to fraction form
    9,194/13,793.16 = 3,038/x
  3. Step 3: Cross multiply
    9,194x = 13,793.16 × 3,038
  4. Step 4: Simplify right side
    9,194x = 41,903,620.08
  5. Step 5: Solve for x
    x = 41,903,620.08/9,194
  6. Step 6: Final answer
    x = 4,557.71

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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.