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Finding the Fourth Proportional to 9,694.29, 14,538.24 and 3,770.76

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Solution

The fourth proportional to 9,694.29, 14,538.24 and 3,770.76 is: 5,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.29 : 14,538.24 = 3,770.76 : x
  2. Step 2: Convert to fraction form
    9,694.29/14,538.24 = 3,770.76/x
  3. Step 3: Cross multiply
    9,694.29x = 14,538.24 × 3,770.76
  4. Step 4: Simplify right side
    9,694.29x = 54,820,213.86
  5. Step 5: Solve for x
    x = 54,820,213.86/9,694.29
  6. Step 6: Final answer
    x = 5,654.90

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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.