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Finding the Fourth Proportional to 9,183.11, 12,654.93 and 6,193.76

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Solution

The fourth proportional to 9,183.11, 12,654.93 and 6,193.76 is: 8,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.11 : 12,654.93 = 6,193.76 : x
  2. Step 2: Convert to fraction form
    9,183.11/12,654.93 = 6,193.76/x
  3. Step 3: Cross multiply
    9,183.11x = 12,654.93 × 6,193.76
  4. Step 4: Simplify right side
    9,183.11x = 78,381,599.24
  5. Step 5: Solve for x
    x = 78,381,599.24/9,183.11
  6. Step 6: Final answer
    x = 8,535.41

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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.