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Finding the Fourth Proportional to 9,446.36, 13,029.35 and 8,185.18

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Solution

The fourth proportional to 9,446.36, 13,029.35 and 8,185.18 is: 11,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.36 : 13,029.35 = 8,185.18 : x
  2. Step 2: Convert to fraction form
    9,446.36/13,029.35 = 8,185.18/x
  3. Step 3: Cross multiply
    9,446.36x = 13,029.35 × 8,185.18
  4. Step 4: Simplify right side
    9,446.36x = 106,647,575.03
  5. Step 5: Solve for x
    x = 106,647,575.03/9,446.36
  6. Step 6: Final answer
    x = 11,289.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.