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Finding the Fourth Proportional to 6,128.46, 9,192.67 and 1,745.98

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Solution

The fourth proportional to 6,128.46, 9,192.67 and 1,745.98 is: 2,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.46 : 9,192.67 = 1,745.98 : x
  2. Step 2: Convert to fraction form
    6,128.46/9,192.67 = 1,745.98/x
  3. Step 3: Cross multiply
    6,128.46x = 9,192.67 × 1,745.98
  4. Step 4: Simplify right side
    6,128.46x = 16,050,217.97
  5. Step 5: Solve for x
    x = 16,050,217.97/6,128.46
  6. Step 6: Final answer
    x = 2,618.96

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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.