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Finding the Fourth Proportional to 9,899.80, 13,650.42 and 7,909

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Solution

The fourth proportional to 9,899.80, 13,650.42 and 7,909 is: 10,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.80 : 13,650.42 = 7,909 : x
  2. Step 2: Convert to fraction form
    9,899.80/13,650.42 = 7,909/x
  3. Step 3: Cross multiply
    9,899.80x = 13,650.42 × 7,909
  4. Step 4: Simplify right side
    9,899.80x = 107,961,171.78
  5. Step 5: Solve for x
    x = 107,961,171.78/9,899.80
  6. Step 6: Final answer
    x = 10,905.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.