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Finding the Fourth Proportional to 9,560.94, 13,198.90 and 5,977.89

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Solution

The fourth proportional to 9,560.94, 13,198.90 and 5,977.89 is: 8,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.94 : 13,198.90 = 5,977.89 : x
  2. Step 2: Convert to fraction form
    9,560.94/13,198.90 = 5,977.89/x
  3. Step 3: Cross multiply
    9,560.94x = 13,198.90 × 5,977.89
  4. Step 4: Simplify right side
    9,560.94x = 78,901,542.43
  5. Step 5: Solve for x
    x = 78,901,542.43/9,560.94
  6. Step 6: Final answer
    x = 8,252.49

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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.