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Finding the Fourth Proportional to 8,934.40, 13,361.37 and 6,826.69

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Solution

The fourth proportional to 8,934.40, 13,361.37 and 6,826.69 is: 10,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.40 : 13,361.37 = 6,826.69 : x
  2. Step 2: Convert to fraction form
    8,934.40/13,361.37 = 6,826.69/x
  3. Step 3: Cross multiply
    8,934.40x = 13,361.37 × 6,826.69
  4. Step 4: Simplify right side
    8,934.40x = 91,213,930.97
  5. Step 5: Solve for x
    x = 91,213,930.97/8,934.40
  6. Step 6: Final answer
    x = 10,209.30

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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.