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Finding the Fourth Proportional to 9,385.19, 12,951.97 and 5,193.44

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Solution

The fourth proportional to 9,385.19, 12,951.97 and 5,193.44 is: 7,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.19 : 12,951.97 = 5,193.44 : x
  2. Step 2: Convert to fraction form
    9,385.19/12,951.97 = 5,193.44/x
  3. Step 3: Cross multiply
    9,385.19x = 12,951.97 × 5,193.44
  4. Step 4: Simplify right side
    9,385.19x = 67,265,220.73
  5. Step 5: Solve for x
    x = 67,265,220.73/9,385.19
  6. Step 6: Final answer
    x = 7,167.17

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