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Finding the Fourth Proportional to 9,290.46, 13,935.54 and 3,743.67

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Solution

The fourth proportional to 9,290.46, 13,935.54 and 3,743.67 is: 5,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.46 : 13,935.54 = 3,743.67 : x
  2. Step 2: Convert to fraction form
    9,290.46/13,935.54 = 3,743.67/x
  3. Step 3: Cross multiply
    9,290.46x = 13,935.54 × 3,743.67
  4. Step 4: Simplify right side
    9,290.46x = 52,170,063.03
  5. Step 5: Solve for x
    x = 52,170,063.03/9,290.46
  6. Step 6: Final answer
    x = 5,615.44

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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.