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Finding the Fourth Proportional to 9,740.44, 14,608.50 and 5,845.96

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Solution

The fourth proportional to 9,740.44, 14,608.50 and 5,845.96 is: 8,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.44 : 14,608.50 = 5,845.96 : x
  2. Step 2: Convert to fraction form
    9,740.44/14,608.50 = 5,845.96/x
  3. Step 3: Cross multiply
    9,740.44x = 14,608.50 × 5,845.96
  4. Step 4: Simplify right side
    9,740.44x = 85,400,706.66
  5. Step 5: Solve for x
    x = 85,400,706.66/9,740.44
  6. Step 6: Final answer
    x = 8,767.64

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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.