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Finding the Fourth Proportional to 6,268, 9,395.60 and 2,981.44

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Solution

The fourth proportional to 6,268, 9,395.60 and 2,981.44 is: 4,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268 : 9,395.60 = 2,981.44 : x
  2. Step 2: Convert to fraction form
    6,268/9,395.60 = 2,981.44/x
  3. Step 3: Cross multiply
    6,268x = 9,395.60 × 2,981.44
  4. Step 4: Simplify right side
    6,268x = 28,012,417.66
  5. Step 5: Solve for x
    x = 28,012,417.66/6,268
  6. Step 6: Final answer
    x = 4,469.12

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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.