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Finding the Fourth Proportional to 9,086.68, 13,633.62 and 3,541.69

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Solution

The fourth proportional to 9,086.68, 13,633.62 and 3,541.69 is: 5,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.68 : 13,633.62 = 3,541.69 : x
  2. Step 2: Convert to fraction form
    9,086.68/13,633.62 = 3,541.69/x
  3. Step 3: Cross multiply
    9,086.68x = 13,633.62 × 3,541.69
  4. Step 4: Simplify right side
    9,086.68x = 48,286,055.62
  5. Step 5: Solve for x
    x = 48,286,055.62/9,086.68
  6. Step 6: Final answer
    x = 5,313.94

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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.