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Finding the Fourth Proportional to 9,385.14, 12,951.32 and 5,193.39

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Solution

The fourth proportional to 9,385.14, 12,951.32 and 5,193.39 is: 7,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.14 : 12,951.32 = 5,193.39 : x
  2. Step 2: Convert to fraction form
    9,385.14/12,951.32 = 5,193.39/x
  3. Step 3: Cross multiply
    9,385.14x = 12,951.32 × 5,193.39
  4. Step 4: Simplify right side
    9,385.14x = 67,261,229.81
  5. Step 5: Solve for x
    x = 67,261,229.81/9,385.14
  6. Step 6: Final answer
    x = 7,166.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.