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Finding the Fourth Proportional to 6,533.28, 9,801.14 and 2,153.82

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Solution

The fourth proportional to 6,533.28, 9,801.14 and 2,153.82 is: 3,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.28 : 9,801.14 = 2,153.82 : x
  2. Step 2: Convert to fraction form
    6,533.28/9,801.14 = 2,153.82/x
  3. Step 3: Cross multiply
    6,533.28x = 9,801.14 × 2,153.82
  4. Step 4: Simplify right side
    6,533.28x = 21,109,891.35
  5. Step 5: Solve for x
    x = 21,109,891.35/6,533.28
  6. Step 6: Final answer
    x = 3,231.13

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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.