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Finding the Fourth Proportional to 9,384.12, 14,072.22 and 2,811.24

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Solution

The fourth proportional to 9,384.12, 14,072.22 and 2,811.24 is: 4,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.12 : 14,072.22 = 2,811.24 : x
  2. Step 2: Convert to fraction form
    9,384.12/14,072.22 = 2,811.24/x
  3. Step 3: Cross multiply
    9,384.12x = 14,072.22 × 2,811.24
  4. Step 4: Simplify right side
    9,384.12x = 39,560,387.75
  5. Step 5: Solve for x
    x = 39,560,387.75/9,384.12
  6. Step 6: Final answer
    x = 4,215.67

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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.