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Finding the Fourth Proportional to 9,157.37, 13,713.66 and 8,269.91

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Solution

The fourth proportional to 9,157.37, 13,713.66 and 8,269.91 is: 12,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.37 : 13,713.66 = 8,269.91 : x
  2. Step 2: Convert to fraction form
    9,157.37/13,713.66 = 8,269.91/x
  3. Step 3: Cross multiply
    9,157.37x = 13,713.66 × 8,269.91
  4. Step 4: Simplify right side
    9,157.37x = 113,410,745.94
  5. Step 5: Solve for x
    x = 113,410,745.94/9,157.37
  6. Step 6: Final answer
    x = 12,384.64

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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.