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Finding the Fourth Proportional to 6,267.10, 9,400.82 and 1,884.54

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Solution

The fourth proportional to 6,267.10, 9,400.82 and 1,884.54 is: 2,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.10 : 9,400.82 = 1,884.54 : x
  2. Step 2: Convert to fraction form
    6,267.10/9,400.82 = 1,884.54/x
  3. Step 3: Cross multiply
    6,267.10x = 9,400.82 × 1,884.54
  4. Step 4: Simplify right side
    6,267.10x = 17,716,221.32
  5. Step 5: Solve for x
    x = 17,716,221.32/6,267.10
  6. Step 6: Final answer
    x = 2,826.86

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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.