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Finding the Fourth Proportional to 9,400, 14,100.23 and 3,160.09

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Solution

The fourth proportional to 9,400, 14,100.23 and 3,160.09 is: 4,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400 : 14,100.23 = 3,160.09 : x
  2. Step 2: Convert to fraction form
    9,400/14,100.23 = 3,160.09/x
  3. Step 3: Cross multiply
    9,400x = 14,100.23 × 3,160.09
  4. Step 4: Simplify right side
    9,400x = 44,557,995.82
  5. Step 5: Solve for x
    x = 44,557,995.82/9,400
  6. Step 6: Final answer
    x = 4,740.21

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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.