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Finding the Fourth Proportional to 9,174.94, 13,763.09 and 2,601.65

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Solution

The fourth proportional to 9,174.94, 13,763.09 and 2,601.65 is: 3,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.94 : 13,763.09 = 2,601.65 : x
  2. Step 2: Convert to fraction form
    9,174.94/13,763.09 = 2,601.65/x
  3. Step 3: Cross multiply
    9,174.94x = 13,763.09 × 2,601.65
  4. Step 4: Simplify right side
    9,174.94x = 35,806,784.01
  5. Step 5: Solve for x
    x = 35,806,784.01/9,174.94
  6. Step 6: Final answer
    x = 3,902.67

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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.