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Finding the Fourth Proportional to 9,193.30, 13,793.29 and 4,512.81

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Solution

The fourth proportional to 9,193.30, 13,793.29 and 4,512.81 is: 6,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.30 : 13,793.29 = 4,512.81 : x
  2. Step 2: Convert to fraction form
    9,193.30/13,793.29 = 4,512.81/x
  3. Step 3: Cross multiply
    9,193.30x = 13,793.29 × 4,512.81
  4. Step 4: Simplify right side
    9,193.30x = 62,246,537.49
  5. Step 5: Solve for x
    x = 62,246,537.49/9,193.30
  6. Step 6: Final answer
    x = 6,770.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.