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Finding the Fourth Proportional to 9,107.44, 13,665 and 3,843.76

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Solution

The fourth proportional to 9,107.44, 13,665 and 3,843.76 is: 5,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.44 : 13,665 = 3,843.76 : x
  2. Step 2: Convert to fraction form
    9,107.44/13,665 = 3,843.76/x
  3. Step 3: Cross multiply
    9,107.44x = 13,665 × 3,843.76
  4. Step 4: Simplify right side
    9,107.44x = 52,524,980.40
  5. Step 5: Solve for x
    x = 52,524,980.40/9,107.44
  6. Step 6: Final answer
    x = 5,767.26

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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.