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Finding the Fourth Proportional to 9,512.36, 14,267.70 and 3,736.12

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Solution

The fourth proportional to 9,512.36, 14,267.70 and 3,736.12 is: 5,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.36 : 14,267.70 = 3,736.12 : x
  2. Step 2: Convert to fraction form
    9,512.36/14,267.70 = 3,736.12/x
  3. Step 3: Cross multiply
    9,512.36x = 14,267.70 × 3,736.12
  4. Step 4: Simplify right side
    9,512.36x = 53,305,839.32
  5. Step 5: Solve for x
    x = 53,305,839.32/9,512.36
  6. Step 6: Final answer
    x = 5,603.85

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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.