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Finding the Fourth Proportional to 9,385.38, 12,951.84 and 5,193.63

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Solution

The fourth proportional to 9,385.38, 12,951.84 and 5,193.63 is: 7,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.38 : 12,951.84 = 5,193.63 : x
  2. Step 2: Convert to fraction form
    9,385.38/12,951.84 = 5,193.63/x
  3. Step 3: Cross multiply
    9,385.38x = 12,951.84 × 5,193.63
  4. Step 4: Simplify right side
    9,385.38x = 67,267,064.78
  5. Step 5: Solve for x
    x = 67,267,064.78/9,385.38
  6. Step 6: Final answer
    x = 7,167.22

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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.