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Finding the Fourth Proportional to 6,144.80, 9,217.20 and 3,544.70

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Solution

The fourth proportional to 6,144.80, 9,217.20 and 3,544.70 is: 5,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.80 : 9,217.20 = 3,544.70 : x
  2. Step 2: Convert to fraction form
    6,144.80/9,217.20 = 3,544.70/x
  3. Step 3: Cross multiply
    6,144.80x = 9,217.20 × 3,544.70
  4. Step 4: Simplify right side
    6,144.80x = 32,672,208.84
  5. Step 5: Solve for x
    x = 32,672,208.84/6,144.80
  6. Step 6: Final answer
    x = 5,317.05

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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.