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Finding the Fourth Proportional to 9,086.96, 13,633.16 and 7,519.88

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Solution

The fourth proportional to 9,086.96, 13,633.16 and 7,519.88 is: 11,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.96 : 13,633.16 = 7,519.88 : x
  2. Step 2: Convert to fraction form
    9,086.96/13,633.16 = 7,519.88/x
  3. Step 3: Cross multiply
    9,086.96x = 13,633.16 × 7,519.88
  4. Step 4: Simplify right side
    9,086.96x = 102,519,727.22
  5. Step 5: Solve for x
    x = 102,519,727.22/9,086.96
  6. Step 6: Final answer
    x = 11,282.07

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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.