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Finding the Fourth Proportional to 9,961.36, 14,896.46 and 7,464.54

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Solution

The fourth proportional to 9,961.36, 14,896.46 and 7,464.54 is: 11,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.36 : 14,896.46 = 7,464.54 : x
  2. Step 2: Convert to fraction form
    9,961.36/14,896.46 = 7,464.54/x
  3. Step 3: Cross multiply
    9,961.36x = 14,896.46 × 7,464.54
  4. Step 4: Simplify right side
    9,961.36x = 111,195,221.53
  5. Step 5: Solve for x
    x = 111,195,221.53/9,961.36
  6. Step 6: Final answer
    x = 11,162.65

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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.