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Finding the Fourth Proportional to 9,793.27, 14,698.31 and 3,954.07

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Solution

The fourth proportional to 9,793.27, 14,698.31 and 3,954.07 is: 5,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.27 : 14,698.31 = 3,954.07 : x
  2. Step 2: Convert to fraction form
    9,793.27/14,698.31 = 3,954.07/x
  3. Step 3: Cross multiply
    9,793.27x = 14,698.31 × 3,954.07
  4. Step 4: Simplify right side
    9,793.27x = 58,118,126.85
  5. Step 5: Solve for x
    x = 58,118,126.85/9,793.27
  6. Step 6: Final answer
    x = 5,934.50

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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.