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Finding the Fourth Proportional to 6,535.62, 9,805.70 and 2,153.41

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Solution

The fourth proportional to 6,535.62, 9,805.70 and 2,153.41 is: 3,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.62 : 9,805.70 = 2,153.41 : x
  2. Step 2: Convert to fraction form
    6,535.62/9,805.70 = 2,153.41/x
  3. Step 3: Cross multiply
    6,535.62x = 9,805.70 × 2,153.41
  4. Step 4: Simplify right side
    6,535.62x = 21,115,673.31
  5. Step 5: Solve for x
    x = 21,115,673.31/6,535.62
  6. Step 6: Final answer
    x = 3,230.86

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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.