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Finding the Fourth Proportional to 9,866.80, 14,796.60 and 3,293.20

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Solution

The fourth proportional to 9,866.80, 14,796.60 and 3,293.20 is: 4,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.80 : 14,796.60 = 3,293.20 : x
  2. Step 2: Convert to fraction form
    9,866.80/14,796.60 = 3,293.20/x
  3. Step 3: Cross multiply
    9,866.80x = 14,796.60 × 3,293.20
  4. Step 4: Simplify right side
    9,866.80x = 48,728,163.12
  5. Step 5: Solve for x
    x = 48,728,163.12/9,866.80
  6. Step 6: Final answer
    x = 4,938.60

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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.