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Finding the Fourth Proportional to 9,535.74, 14,306.04 and 3,694.02

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Solution

The fourth proportional to 9,535.74, 14,306.04 and 3,694.02 is: 5,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.74 : 14,306.04 = 3,694.02 : x
  2. Step 2: Convert to fraction form
    9,535.74/14,306.04 = 3,694.02/x
  3. Step 3: Cross multiply
    9,535.74x = 14,306.04 × 3,694.02
  4. Step 4: Simplify right side
    9,535.74x = 52,846,797.88
  5. Step 5: Solve for x
    x = 52,846,797.88/9,535.74
  6. Step 6: Final answer
    x = 5,541.97

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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.