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Finding the Fourth Proportional to 13,196, 19,795.62 and 3,962

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Solution

The fourth proportional to 13,196, 19,795.62 and 3,962 is: 5,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196 : 19,795.62 = 3,962 : x
  2. Step 2: Convert to fraction form
    13,196/19,795.62 = 3,962/x
  3. Step 3: Cross multiply
    13,196x = 19,795.62 × 3,962
  4. Step 4: Simplify right side
    13,196x = 78,430,246.44
  5. Step 5: Solve for x
    x = 78,430,246.44/13,196
  6. Step 6: Final answer
    x = 5,943.49

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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.