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Finding the Fourth Proportional to 6,137.83, 9,210.39 and 2,441.80

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Solution

The fourth proportional to 6,137.83, 9,210.39 and 2,441.80 is: 3,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.83 : 9,210.39 = 2,441.80 : x
  2. Step 2: Convert to fraction form
    6,137.83/9,210.39 = 2,441.80/x
  3. Step 3: Cross multiply
    6,137.83x = 9,210.39 × 2,441.80
  4. Step 4: Simplify right side
    6,137.83x = 22,489,930.30
  5. Step 5: Solve for x
    x = 22,489,930.30/6,137.83
  6. Step 6: Final answer
    x = 3,664.15

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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.