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Finding the Fourth Proportional to 6,183.90, 9,276.75 and 1,800.78

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Solution

The fourth proportional to 6,183.90, 9,276.75 and 1,800.78 is: 2,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.90 : 9,276.75 = 1,800.78 : x
  2. Step 2: Convert to fraction form
    6,183.90/9,276.75 = 1,800.78/x
  3. Step 3: Cross multiply
    6,183.90x = 9,276.75 × 1,800.78
  4. Step 4: Simplify right side
    6,183.90x = 16,705,385.87
  5. Step 5: Solve for x
    x = 16,705,385.87/6,183.90
  6. Step 6: Final answer
    x = 2,701.43

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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.