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Finding the Fourth Proportional to 9,943.50, 13,722.03 and 5,751.75

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Solution

The fourth proportional to 9,943.50, 13,722.03 and 5,751.75 is: 7,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.50 : 13,722.03 = 5,751.75 : x
  2. Step 2: Convert to fraction form
    9,943.50/13,722.03 = 5,751.75/x
  3. Step 3: Cross multiply
    9,943.50x = 13,722.03 × 5,751.75
  4. Step 4: Simplify right side
    9,943.50x = 78,925,686.05
  5. Step 5: Solve for x
    x = 78,925,686.05/9,943.50
  6. Step 6: Final answer
    x = 7,937.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.