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Finding the Fourth Proportional to 9,858.44, 14,785.42 and 2,838.44

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Solution

The fourth proportional to 9,858.44, 14,785.42 and 2,838.44 is: 4,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.44 : 14,785.42 = 2,838.44 : x
  2. Step 2: Convert to fraction form
    9,858.44/14,785.42 = 2,838.44/x
  3. Step 3: Cross multiply
    9,858.44x = 14,785.42 × 2,838.44
  4. Step 4: Simplify right side
    9,858.44x = 41,967,527.54
  5. Step 5: Solve for x
    x = 41,967,527.54/9,858.44
  6. Step 6: Final answer
    x = 4,257.02

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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.