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Finding the Fourth Proportional to 13,086.96, 19,630.44 and 6,162

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Solution

The fourth proportional to 13,086.96, 19,630.44 and 6,162 is: 9,243

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.96 : 19,630.44 = 6,162 : x
  2. Step 2: Convert to fraction form
    13,086.96/19,630.44 = 6,162/x
  3. Step 3: Cross multiply
    13,086.96x = 19,630.44 × 6,162
  4. Step 4: Simplify right side
    13,086.96x = 120,962,771.28
  5. Step 5: Solve for x
    x = 120,962,771.28/13,086.96
  6. Step 6: Final answer
    x = 9,243

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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.