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Finding the Fourth Proportional to 6,144.40, 9,211.20 and 2,449.12

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Solution

The fourth proportional to 6,144.40, 9,211.20 and 2,449.12 is: 3,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.40 : 9,211.20 = 2,449.12 : x
  2. Step 2: Convert to fraction form
    6,144.40/9,211.20 = 2,449.12/x
  3. Step 3: Cross multiply
    6,144.40x = 9,211.20 × 2,449.12
  4. Step 4: Simplify right side
    6,144.40x = 22,559,334.14
  5. Step 5: Solve for x
    x = 22,559,334.14/6,144.40
  6. Step 6: Final answer
    x = 3,671.53

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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.