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Finding the Fourth Proportional to 9,796.32, 14,685.84 and 3,636

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Solution

The fourth proportional to 9,796.32, 14,685.84 and 3,636 is: 5,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.32 : 14,685.84 = 3,636 : x
  2. Step 2: Convert to fraction form
    9,796.32/14,685.84 = 3,636/x
  3. Step 3: Cross multiply
    9,796.32x = 14,685.84 × 3,636
  4. Step 4: Simplify right side
    9,796.32x = 53,397,714.24
  5. Step 5: Solve for x
    x = 53,397,714.24/9,796.32
  6. Step 6: Final answer
    x = 5,450.79

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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.