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Finding the Fourth Proportional to 6,515.93, 9,772.97 and 2,132.82

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Solution

The fourth proportional to 6,515.93, 9,772.97 and 2,132.82 is: 3,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.93 : 9,772.97 = 2,132.82 : x
  2. Step 2: Convert to fraction form
    6,515.93/9,772.97 = 2,132.82/x
  3. Step 3: Cross multiply
    6,515.93x = 9,772.97 × 2,132.82
  4. Step 4: Simplify right side
    6,515.93x = 20,843,985.88
  5. Step 5: Solve for x
    x = 20,843,985.88/6,515.93
  6. Step 6: Final answer
    x = 3,198.93

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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.