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Finding the Fourth Proportional to 9,311.50, 12,849.87 and 5,119.75

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Solution

The fourth proportional to 9,311.50, 12,849.87 and 5,119.75 is: 7,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.50 : 12,849.87 = 5,119.75 : x
  2. Step 2: Convert to fraction form
    9,311.50/12,849.87 = 5,119.75/x
  3. Step 3: Cross multiply
    9,311.50x = 12,849.87 × 5,119.75
  4. Step 4: Simplify right side
    9,311.50x = 65,788,121.93
  5. Step 5: Solve for x
    x = 65,788,121.93/9,311.50
  6. Step 6: Final answer
    x = 7,065.26

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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.