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Finding the Fourth Proportional to 9,977.82, 14,912.60 and 9,189.69

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Solution

The fourth proportional to 9,977.82, 14,912.60 and 9,189.69 is: 13,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.82 : 14,912.60 = 9,189.69 : x
  2. Step 2: Convert to fraction form
    9,977.82/14,912.60 = 9,189.69/x
  3. Step 3: Cross multiply
    9,977.82x = 14,912.60 × 9,189.69
  4. Step 4: Simplify right side
    9,977.82x = 137,042,171.09
  5. Step 5: Solve for x
    x = 137,042,171.09/9,977.82
  6. Step 6: Final answer
    x = 13,734.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.