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Finding the Fourth Proportional to 6,826.92, 9,422.50 and 3,994.60

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Solution

The fourth proportional to 6,826.92, 9,422.50 and 3,994.60 is: 5,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.92 : 9,422.50 = 3,994.60 : x
  2. Step 2: Convert to fraction form
    6,826.92/9,422.50 = 3,994.60/x
  3. Step 3: Cross multiply
    6,826.92x = 9,422.50 × 3,994.60
  4. Step 4: Simplify right side
    6,826.92x = 37,639,118.50
  5. Step 5: Solve for x
    x = 37,639,118.50/6,826.92
  6. Step 6: Final answer
    x = 5,513.34

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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.