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Finding the Fourth Proportional to 6,097.43, 9,144.55 and 2,587.29

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Solution

The fourth proportional to 6,097.43, 9,144.55 and 2,587.29 is: 3,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.43 : 9,144.55 = 2,587.29 : x
  2. Step 2: Convert to fraction form
    6,097.43/9,144.55 = 2,587.29/x
  3. Step 3: Cross multiply
    6,097.43x = 9,144.55 × 2,587.29
  4. Step 4: Simplify right side
    6,097.43x = 23,659,608.60
  5. Step 5: Solve for x
    x = 23,659,608.60/6,097.43
  6. Step 6: Final answer
    x = 3,880.26

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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.