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Finding the Fourth Proportional to 9,323.54, 13,977.99 and 3,476.96

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Solution

The fourth proportional to 9,323.54, 13,977.99 and 3,476.96 is: 5,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.54 : 13,977.99 = 3,476.96 : x
  2. Step 2: Convert to fraction form
    9,323.54/13,977.99 = 3,476.96/x
  3. Step 3: Cross multiply
    9,323.54x = 13,977.99 × 3,476.96
  4. Step 4: Simplify right side
    9,323.54x = 48,600,912.11
  5. Step 5: Solve for x
    x = 48,600,912.11/9,323.54
  6. Step 6: Final answer
    x = 5,212.71

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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.