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Finding the Fourth Proportional to 6,183.36, 9,276.36 and 2,894.64

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Solution

The fourth proportional to 6,183.36, 9,276.36 and 2,894.64 is: 4,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.36 : 9,276.36 = 2,894.64 : x
  2. Step 2: Convert to fraction form
    6,183.36/9,276.36 = 2,894.64/x
  3. Step 3: Cross multiply
    6,183.36x = 9,276.36 × 2,894.64
  4. Step 4: Simplify right side
    6,183.36x = 26,851,722.71
  5. Step 5: Solve for x
    x = 26,851,722.71/6,183.36
  6. Step 6: Final answer
    x = 4,342.58

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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.