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Finding the Fourth Proportional to 9,843.42, 14,756.16 and 4,914.54

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Solution

The fourth proportional to 9,843.42, 14,756.16 and 4,914.54 is: 7,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.42 : 14,756.16 = 4,914.54 : x
  2. Step 2: Convert to fraction form
    9,843.42/14,756.16 = 4,914.54/x
  3. Step 3: Cross multiply
    9,843.42x = 14,756.16 × 4,914.54
  4. Step 4: Simplify right side
    9,843.42x = 72,519,738.57
  5. Step 5: Solve for x
    x = 72,519,738.57/9,843.42
  6. Step 6: Final answer
    x = 7,367.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.