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Finding the Fourth Proportional to 9,293.96, 13,936.56 and 3,450.08

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Solution

The fourth proportional to 9,293.96, 13,936.56 and 3,450.08 is: 5,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.96 : 13,936.56 = 3,450.08 : x
  2. Step 2: Convert to fraction form
    9,293.96/13,936.56 = 3,450.08/x
  3. Step 3: Cross multiply
    9,293.96x = 13,936.56 × 3,450.08
  4. Step 4: Simplify right side
    9,293.96x = 48,082,246.92
  5. Step 5: Solve for x
    x = 48,082,246.92/9,293.96
  6. Step 6: Final answer
    x = 5,173.49

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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.