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Finding the Fourth Proportional to 9,086.48, 13,622.16 and 3,891.68

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Solution

The fourth proportional to 9,086.48, 13,622.16 and 3,891.68 is: 5,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.48 : 13,622.16 = 3,891.68 : x
  2. Step 2: Convert to fraction form
    9,086.48/13,622.16 = 3,891.68/x
  3. Step 3: Cross multiply
    9,086.48x = 13,622.16 × 3,891.68
  4. Step 4: Simplify right side
    9,086.48x = 53,013,087.63
  5. Step 5: Solve for x
    x = 53,013,087.63/9,086.48
  6. Step 6: Final answer
    x = 5,834.28

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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.