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Finding the Fourth Proportional to 9,855.83, 14,786.10 and 3,282.07

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Solution

The fourth proportional to 9,855.83, 14,786.10 and 3,282.07 is: 4,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.83 : 14,786.10 = 3,282.07 : x
  2. Step 2: Convert to fraction form
    9,855.83/14,786.10 = 3,282.07/x
  3. Step 3: Cross multiply
    9,855.83x = 14,786.10 × 3,282.07
  4. Step 4: Simplify right side
    9,855.83x = 48,529,015.23
  5. Step 5: Solve for x
    x = 48,529,015.23/9,855.83
  6. Step 6: Final answer
    x = 4,923.89

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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.