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Finding the Fourth Proportional to 9,394.75, 14,096.99 and 4,777.75

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Solution

The fourth proportional to 9,394.75, 14,096.99 and 4,777.75 is: 7,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.75 : 14,096.99 = 4,777.75 : x
  2. Step 2: Convert to fraction form
    9,394.75/14,096.99 = 4,777.75/x
  3. Step 3: Cross multiply
    9,394.75x = 14,096.99 × 4,777.75
  4. Step 4: Simplify right side
    9,394.75x = 67,351,893.97
  5. Step 5: Solve for x
    x = 67,351,893.97/9,394.75
  6. Step 6: Final answer
    x = 7,169.10

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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.