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Finding the Fourth Proportional to 9,548.46, 14,321.61 and 2,974.09

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Solution

The fourth proportional to 9,548.46, 14,321.61 and 2,974.09 is: 4,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.46 : 14,321.61 = 2,974.09 : x
  2. Step 2: Convert to fraction form
    9,548.46/14,321.61 = 2,974.09/x
  3. Step 3: Cross multiply
    9,548.46x = 14,321.61 × 2,974.09
  4. Step 4: Simplify right side
    9,548.46x = 42,593,757.08
  5. Step 5: Solve for x
    x = 42,593,757.08/9,548.46
  6. Step 6: Final answer
    x = 4,460.80

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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.