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Finding the Fourth Proportional to 6,826.87, 9,422.86 and 4,176.49

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Solution

The fourth proportional to 6,826.87, 9,422.86 and 4,176.49 is: 5,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.87 : 9,422.86 = 4,176.49 : x
  2. Step 2: Convert to fraction form
    6,826.87/9,422.86 = 4,176.49/x
  3. Step 3: Cross multiply
    6,826.87x = 9,422.86 × 4,176.49
  4. Step 4: Simplify right side
    6,826.87x = 39,354,480.56
  5. Step 5: Solve for x
    x = 39,354,480.56/6,826.87
  6. Step 6: Final answer
    x = 5,764.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.