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Finding the Fourth Proportional to 9,694.79, 14,549.43 and 3,772.61

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Solution

The fourth proportional to 9,694.79, 14,549.43 and 3,772.61 is: 5,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.79 : 14,549.43 = 3,772.61 : x
  2. Step 2: Convert to fraction form
    9,694.79/14,549.43 = 3,772.61/x
  3. Step 3: Cross multiply
    9,694.79x = 14,549.43 × 3,772.61
  4. Step 4: Simplify right side
    9,694.79x = 54,889,325.11
  5. Step 5: Solve for x
    x = 54,889,325.11/9,694.79
  6. Step 6: Final answer
    x = 5,661.73

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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.