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Finding the Fourth Proportional to 9,796.14, 14,617.04 and 9,200.88

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Solution

The fourth proportional to 9,796.14, 14,617.04 and 9,200.88 is: 13,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.14 : 14,617.04 = 9,200.88 : x
  2. Step 2: Convert to fraction form
    9,796.14/14,617.04 = 9,200.88/x
  3. Step 3: Cross multiply
    9,796.14x = 14,617.04 × 9,200.88
  4. Step 4: Simplify right side
    9,796.14x = 134,489,584.99
  5. Step 5: Solve for x
    x = 134,489,584.99/9,796.14
  6. Step 6: Final answer
    x = 13,728.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.