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Finding the Fourth Proportional to 6,146.54, 9,219.20 and 2,447.78

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Solution

The fourth proportional to 6,146.54, 9,219.20 and 2,447.78 is: 3,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.54 : 9,219.20 = 2,447.78 : x
  2. Step 2: Convert to fraction form
    6,146.54/9,219.20 = 2,447.78/x
  3. Step 3: Cross multiply
    6,146.54x = 9,219.20 × 2,447.78
  4. Step 4: Simplify right side
    6,146.54x = 22,566,515.04
  5. Step 5: Solve for x
    x = 22,566,515.04/6,146.54
  6. Step 6: Final answer
    x = 3,671.42

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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.