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Finding the Fourth Proportional to 6,512.45, 9,762.20 and 3,735.77

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Solution

The fourth proportional to 6,512.45, 9,762.20 and 3,735.77 is: 5,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.45 : 9,762.20 = 3,735.77 : x
  2. Step 2: Convert to fraction form
    6,512.45/9,762.20 = 3,735.77/x
  3. Step 3: Cross multiply
    6,512.45x = 9,762.20 × 3,735.77
  4. Step 4: Simplify right side
    6,512.45x = 36,469,315.22
  5. Step 5: Solve for x
    x = 36,469,315.22/6,512.45
  6. Step 6: Final answer
    x = 5,599.94

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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.