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Finding the Fourth Proportional to 6,149.56, 9,224.36 and 1,989.40

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Solution

The fourth proportional to 6,149.56, 9,224.36 and 1,989.40 is: 2,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.56 : 9,224.36 = 1,989.40 : x
  2. Step 2: Convert to fraction form
    6,149.56/9,224.36 = 1,989.40/x
  3. Step 3: Cross multiply
    6,149.56x = 9,224.36 × 1,989.40
  4. Step 4: Simplify right side
    6,149.56x = 18,350,941.78
  5. Step 5: Solve for x
    x = 18,350,941.78/6,149.56
  6. Step 6: Final answer
    x = 2,984.11

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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.