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Finding the Fourth Proportional to 6,533.87, 9,801.54 and 2,375.83

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Solution

The fourth proportional to 6,533.87, 9,801.54 and 2,375.83 is: 3,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.87 : 9,801.54 = 2,375.83 : x
  2. Step 2: Convert to fraction form
    6,533.87/9,801.54 = 2,375.83/x
  3. Step 3: Cross multiply
    6,533.87x = 9,801.54 × 2,375.83
  4. Step 4: Simplify right side
    6,533.87x = 23,286,805.03
  5. Step 5: Solve for x
    x = 23,286,805.03/6,533.87
  6. Step 6: Final answer
    x = 3,564.02

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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.