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Finding the Fourth Proportional to 9,185.00, 13,768.74 and 2,940.98

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Solution

The fourth proportional to 9,185.00, 13,768.74 and 2,940.98 is: 4,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.00 : 13,768.74 = 2,940.98 : x
  2. Step 2: Convert to fraction form
    9,185.00/13,768.74 = 2,940.98/x
  3. Step 3: Cross multiply
    9,185.00x = 13,768.74 × 2,940.98
  4. Step 4: Simplify right side
    9,185.00x = 40,493,623.39
  5. Step 5: Solve for x
    x = 40,493,623.39/9,185.00
  6. Step 6: Final answer
    x = 4,408.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.