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Finding the Fourth Proportional to 9,836.94, 14,755.41 and 3,679.50

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Solution

The fourth proportional to 9,836.94, 14,755.41 and 3,679.50 is: 5,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.94 : 14,755.41 = 3,679.50 : x
  2. Step 2: Convert to fraction form
    9,836.94/14,755.41 = 3,679.50/x
  3. Step 3: Cross multiply
    9,836.94x = 14,755.41 × 3,679.50
  4. Step 4: Simplify right side
    9,836.94x = 54,292,531.10
  5. Step 5: Solve for x
    x = 54,292,531.10/9,836.94
  6. Step 6: Final answer
    x = 5,519.25

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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.