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Finding the Fourth Proportional to 9,274.65, 13,912.64 and 3,355.05

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Solution

The fourth proportional to 9,274.65, 13,912.64 and 3,355.05 is: 5,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.65 : 13,912.64 = 3,355.05 : x
  2. Step 2: Convert to fraction form
    9,274.65/13,912.64 = 3,355.05/x
  3. Step 3: Cross multiply
    9,274.65x = 13,912.64 × 3,355.05
  4. Step 4: Simplify right side
    9,274.65x = 46,677,523.99
  5. Step 5: Solve for x
    x = 46,677,523.99/9,274.65
  6. Step 6: Final answer
    x = 5,032.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.