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Finding the Fourth Proportional to 9,754.09, 14,631.02 and 3,914.80

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Solution

The fourth proportional to 9,754.09, 14,631.02 and 3,914.80 is: 5,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.09 : 14,631.02 = 3,914.80 : x
  2. Step 2: Convert to fraction form
    9,754.09/14,631.02 = 3,914.80/x
  3. Step 3: Cross multiply
    9,754.09x = 14,631.02 × 3,914.80
  4. Step 4: Simplify right side
    9,754.09x = 57,277,460.94
  5. Step 5: Solve for x
    x = 57,277,460.94/9,754.09
  6. Step 6: Final answer
    x = 5,872.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.