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Finding the Fourth Proportional to 9,634.44, 13,244.49 and 8,285.10

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Solution

The fourth proportional to 9,634.44, 13,244.49 and 8,285.10 is: 11,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.44 : 13,244.49 = 8,285.10 : x
  2. Step 2: Convert to fraction form
    9,634.44/13,244.49 = 8,285.10/x
  3. Step 3: Cross multiply
    9,634.44x = 13,244.49 × 8,285.10
  4. Step 4: Simplify right side
    9,634.44x = 109,731,924.10
  5. Step 5: Solve for x
    x = 109,731,924.10/9,634.44
  6. Step 6: Final answer
    x = 11,389.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.