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Finding the Fourth Proportional to 9,796.36, 14,697.26 and 3,951.60

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Solution

The fourth proportional to 9,796.36, 14,697.26 and 3,951.60 is: 5,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.36 : 14,697.26 = 3,951.60 : x
  2. Step 2: Convert to fraction form
    9,796.36/14,697.26 = 3,951.60/x
  3. Step 3: Cross multiply
    9,796.36x = 14,697.26 × 3,951.60
  4. Step 4: Simplify right side
    9,796.36x = 58,077,692.62
  5. Step 5: Solve for x
    x = 58,077,692.62/9,796.36
  6. Step 6: Final answer
    x = 5,928.50

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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.