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Finding the Fourth Proportional to 9,394.37, 14,093.14 and 3,154.97

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Solution

The fourth proportional to 9,394.37, 14,093.14 and 3,154.97 is: 4,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.37 : 14,093.14 = 3,154.97 : x
  2. Step 2: Convert to fraction form
    9,394.37/14,093.14 = 3,154.97/x
  3. Step 3: Cross multiply
    9,394.37x = 14,093.14 × 3,154.97
  4. Step 4: Simplify right side
    9,394.37x = 44,463,433.91
  5. Step 5: Solve for x
    x = 44,463,433.91/9,394.37
  6. Step 6: Final answer
    x = 4,732.99

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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.