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Finding the Fourth Proportional to 9,846.76, 14,770.23 and 3,092.38

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Solution

The fourth proportional to 9,846.76, 14,770.23 and 3,092.38 is: 4,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.76 : 14,770.23 = 3,092.38 : x
  2. Step 2: Convert to fraction form
    9,846.76/14,770.23 = 3,092.38/x
  3. Step 3: Cross multiply
    9,846.76x = 14,770.23 × 3,092.38
  4. Step 4: Simplify right side
    9,846.76x = 45,675,163.85
  5. Step 5: Solve for x
    x = 45,675,163.85/9,846.76
  6. Step 6: Final answer
    x = 4,638.60

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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.