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Finding the Fourth Proportional to 9,634.92, 13,297.32 and 5,443.17

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Solution

The fourth proportional to 9,634.92, 13,297.32 and 5,443.17 is: 7,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.92 : 13,297.32 = 5,443.17 : x
  2. Step 2: Convert to fraction form
    9,634.92/13,297.32 = 5,443.17/x
  3. Step 3: Cross multiply
    9,634.92x = 13,297.32 × 5,443.17
  4. Step 4: Simplify right side
    9,634.92x = 72,379,573.30
  5. Step 5: Solve for x
    x = 72,379,573.30/9,634.92
  6. Step 6: Final answer
    x = 7,512.21

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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.