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Finding the Fourth Proportional to 9,704.26, 13,391.92 and 5,671.32

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Solution

The fourth proportional to 9,704.26, 13,391.92 and 5,671.32 is: 7,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.26 : 13,391.92 = 5,671.32 : x
  2. Step 2: Convert to fraction form
    9,704.26/13,391.92 = 5,671.32/x
  3. Step 3: Cross multiply
    9,704.26x = 13,391.92 × 5,671.32
  4. Step 4: Simplify right side
    9,704.26x = 75,949,796.77
  5. Step 5: Solve for x
    x = 75,949,796.77/9,704.26
  6. Step 6: Final answer
    x = 7,826.44

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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.