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Finding the Fourth Proportional to 9,969.78, 13,756.43 and 5,990.96

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Solution

The fourth proportional to 9,969.78, 13,756.43 and 5,990.96 is: 8,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.78 : 13,756.43 = 5,990.96 : x
  2. Step 2: Convert to fraction form
    9,969.78/13,756.43 = 5,990.96/x
  3. Step 3: Cross multiply
    9,969.78x = 13,756.43 × 5,990.96
  4. Step 4: Simplify right side
    9,969.78x = 82,414,271.24
  5. Step 5: Solve for x
    x = 82,414,271.24/9,969.78
  6. Step 6: Final answer
    x = 8,266.41

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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.