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Finding the Fourth Proportional to 9,833.75, 14,754.14 and 4,571.27

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Solution

The fourth proportional to 9,833.75, 14,754.14 and 4,571.27 is: 6,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.75 : 14,754.14 = 4,571.27 : x
  2. Step 2: Convert to fraction form
    9,833.75/14,754.14 = 4,571.27/x
  3. Step 3: Cross multiply
    9,833.75x = 14,754.14 × 4,571.27
  4. Step 4: Simplify right side
    9,833.75x = 67,445,134.70
  5. Step 5: Solve for x
    x = 67,445,134.70/9,833.75
  6. Step 6: Final answer
    x = 6,858.54

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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.