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Finding the Fourth Proportional to 6,144.59, 9,217.43 and 1,984.70

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Solution

The fourth proportional to 6,144.59, 9,217.43 and 1,984.70 is: 2,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.59 : 9,217.43 = 1,984.70 : x
  2. Step 2: Convert to fraction form
    6,144.59/9,217.43 = 1,984.70/x
  3. Step 3: Cross multiply
    6,144.59x = 9,217.43 × 1,984.70
  4. Step 4: Simplify right side
    6,144.59x = 18,293,777.31
  5. Step 5: Solve for x
    x = 18,293,777.31/6,144.59
  6. Step 6: Final answer
    x = 2,977.22

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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.