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Finding the Fourth Proportional to 9,196.66, 13,794.98 and 6,428.73

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Solution

The fourth proportional to 9,196.66, 13,794.98 and 6,428.73 is: 9,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.66 : 13,794.98 = 6,428.73 : x
  2. Step 2: Convert to fraction form
    9,196.66/13,794.98 = 6,428.73/x
  3. Step 3: Cross multiply
    9,196.66x = 13,794.98 × 6,428.73
  4. Step 4: Simplify right side
    9,196.66x = 88,684,201.78
  5. Step 5: Solve for x
    x = 88,684,201.78/9,196.66
  6. Step 6: Final answer
    x = 9,643.09

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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.