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Finding the Fourth Proportional to 9,847.81, 14,772.39 and 2,827.28

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Solution

The fourth proportional to 9,847.81, 14,772.39 and 2,827.28 is: 4,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.81 : 14,772.39 = 2,827.28 : x
  2. Step 2: Convert to fraction form
    9,847.81/14,772.39 = 2,827.28/x
  3. Step 3: Cross multiply
    9,847.81x = 14,772.39 × 2,827.28
  4. Step 4: Simplify right side
    9,847.81x = 41,765,705.59
  5. Step 5: Solve for x
    x = 41,765,705.59/9,847.81
  6. Step 6: Final answer
    x = 4,241.12

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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.