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Finding the Fourth Proportional to 6,515.87, 9,771.60 and 2,132.24

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Solution

The fourth proportional to 6,515.87, 9,771.60 and 2,132.24 is: 3,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.87 : 9,771.60 = 2,132.24 : x
  2. Step 2: Convert to fraction form
    6,515.87/9,771.60 = 2,132.24/x
  3. Step 3: Cross multiply
    6,515.87x = 9,771.60 × 2,132.24
  4. Step 4: Simplify right side
    6,515.87x = 20,835,396.38
  5. Step 5: Solve for x
    x = 20,835,396.38/6,515.87
  6. Step 6: Final answer
    x = 3,197.64

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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.