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Finding the Fourth Proportional to 9,940.46, 13,717.76 and 5,692.28

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Solution

The fourth proportional to 9,940.46, 13,717.76 and 5,692.28 is: 7,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.46 : 13,717.76 = 5,692.28 : x
  2. Step 2: Convert to fraction form
    9,940.46/13,717.76 = 5,692.28/x
  3. Step 3: Cross multiply
    9,940.46x = 13,717.76 × 5,692.28
  4. Step 4: Simplify right side
    9,940.46x = 78,085,330.89
  5. Step 5: Solve for x
    x = 78,085,330.89/9,940.46
  6. Step 6: Final answer
    x = 7,855.30

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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.