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Finding the Fourth Proportional to 9,674.93, 14,516.60 and 3,755.96

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Solution

The fourth proportional to 9,674.93, 14,516.60 and 3,755.96 is: 5,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.93 : 14,516.60 = 3,755.96 : x
  2. Step 2: Convert to fraction form
    9,674.93/14,516.60 = 3,755.96/x
  3. Step 3: Cross multiply
    9,674.93x = 14,516.60 × 3,755.96
  4. Step 4: Simplify right side
    9,674.93x = 54,523,768.94
  5. Step 5: Solve for x
    x = 54,523,768.94/9,674.93
  6. Step 6: Final answer
    x = 5,635.57

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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.