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Finding the Fourth Proportional to 9,940.46, 13,716.98 and 5,851.83

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Solution

The fourth proportional to 9,940.46, 13,716.98 and 5,851.83 is: 8,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.46 : 13,716.98 = 5,851.83 : x
  2. Step 2: Convert to fraction form
    9,940.46/13,716.98 = 5,851.83/x
  3. Step 3: Cross multiply
    9,940.46x = 13,716.98 × 5,851.83
  4. Step 4: Simplify right side
    9,940.46x = 80,269,435.07
  5. Step 5: Solve for x
    x = 80,269,435.07/9,940.46
  6. Step 6: Final answer
    x = 8,075.02

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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.