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Finding the Fourth Proportional to 6,513.90, 9,772.67 and 2,134.43

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Solution

The fourth proportional to 6,513.90, 9,772.67 and 2,134.43 is: 3,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.90 : 9,772.67 = 2,134.43 : x
  2. Step 2: Convert to fraction form
    6,513.90/9,772.67 = 2,134.43/x
  3. Step 3: Cross multiply
    6,513.90x = 9,772.67 × 2,134.43
  4. Step 4: Simplify right side
    6,513.90x = 20,859,061.14
  5. Step 5: Solve for x
    x = 20,859,061.14/6,513.90
  6. Step 6: Final answer
    x = 3,202.24

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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.