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Finding the Fourth Proportional to 9,855.81, 14,783.45 and 3,282.12

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Solution

The fourth proportional to 9,855.81, 14,783.45 and 3,282.12 is: 4,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.81 : 14,783.45 = 3,282.12 : x
  2. Step 2: Convert to fraction form
    9,855.81/14,783.45 = 3,282.12/x
  3. Step 3: Cross multiply
    9,855.81x = 14,783.45 × 3,282.12
  4. Step 4: Simplify right side
    9,855.81x = 48,521,040.50
  5. Step 5: Solve for x
    x = 48,521,040.50/9,855.81
  6. Step 6: Final answer
    x = 4,923.09

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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.