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Finding the Fourth Proportional to 9,391.50, 12,960.27 and 5,199.75

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Solution

The fourth proportional to 9,391.50, 12,960.27 and 5,199.75 is: 7,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.50 : 12,960.27 = 5,199.75 : x
  2. Step 2: Convert to fraction form
    9,391.50/12,960.27 = 5,199.75/x
  3. Step 3: Cross multiply
    9,391.50x = 12,960.27 × 5,199.75
  4. Step 4: Simplify right side
    9,391.50x = 67,390,163.93
  5. Step 5: Solve for x
    x = 67,390,163.93/9,391.50
  6. Step 6: Final answer
    x = 7,175.66

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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.