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Finding the Fourth Proportional to 9,847.32, 14,771.82 and 2,827.35

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Solution

The fourth proportional to 9,847.32, 14,771.82 and 2,827.35 is: 4,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.32 : 14,771.82 = 2,827.35 : x
  2. Step 2: Convert to fraction form
    9,847.32/14,771.82 = 2,827.35/x
  3. Step 3: Cross multiply
    9,847.32x = 14,771.82 × 2,827.35
  4. Step 4: Simplify right side
    9,847.32x = 41,765,105.28
  5. Step 5: Solve for x
    x = 41,765,105.28/9,847.32
  6. Step 6: Final answer
    x = 4,241.27

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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.