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Finding the Fourth Proportional to 6,533.46, 9,801.41 and 2,151.23

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Solution

The fourth proportional to 6,533.46, 9,801.41 and 2,151.23 is: 3,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.46 : 9,801.41 = 2,151.23 : x
  2. Step 2: Convert to fraction form
    6,533.46/9,801.41 = 2,151.23/x
  3. Step 3: Cross multiply
    6,533.46x = 9,801.41 × 2,151.23
  4. Step 4: Simplify right side
    6,533.46x = 21,085,027.47
  5. Step 5: Solve for x
    x = 21,085,027.47/6,533.46
  6. Step 6: Final answer
    x = 3,227.24

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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.