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Finding the Fourth Proportional to 9,196.71, 13,794.99 and 6,090.62

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Solution

The fourth proportional to 9,196.71, 13,794.99 and 6,090.62 is: 9,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.71 : 13,794.99 = 6,090.62 : x
  2. Step 2: Convert to fraction form
    9,196.71/13,794.99 = 6,090.62/x
  3. Step 3: Cross multiply
    9,196.71x = 13,794.99 × 6,090.62
  4. Step 4: Simplify right side
    9,196.71x = 84,020,022.73
  5. Step 5: Solve for x
    x = 84,020,022.73/9,196.71
  6. Step 6: Final answer
    x = 9,135.88

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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.