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Finding the Fourth Proportional to 9,846.82, 14,768.19 and 2,825.27

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Solution

The fourth proportional to 9,846.82, 14,768.19 and 2,825.27 is: 4,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.82 : 14,768.19 = 2,825.27 : x
  2. Step 2: Convert to fraction form
    9,846.82/14,768.19 = 2,825.27/x
  3. Step 3: Cross multiply
    9,846.82x = 14,768.19 × 2,825.27
  4. Step 4: Simplify right side
    9,846.82x = 41,724,124.16
  5. Step 5: Solve for x
    x = 41,724,124.16/9,846.82
  6. Step 6: Final answer
    x = 4,237.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.