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Finding the Fourth Proportional to 6,519.31, 9,775.31 and 2,136.40

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Solution

The fourth proportional to 6,519.31, 9,775.31 and 2,136.40 is: 3,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.31 : 9,775.31 = 2,136.40 : x
  2. Step 2: Convert to fraction form
    6,519.31/9,775.31 = 2,136.40/x
  3. Step 3: Cross multiply
    6,519.31x = 9,775.31 × 2,136.40
  4. Step 4: Simplify right side
    6,519.31x = 20,883,972.28
  5. Step 5: Solve for x
    x = 20,883,972.28/6,519.31
  6. Step 6: Final answer
    x = 3,203.40

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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.