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Finding the Fourth Proportional to 9,969.70, 13,760.17 and 5,723.63

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Solution

The fourth proportional to 9,969.70, 13,760.17 and 5,723.63 is: 7,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.70 : 13,760.17 = 5,723.63 : x
  2. Step 2: Convert to fraction form
    9,969.70/13,760.17 = 5,723.63/x
  3. Step 3: Cross multiply
    9,969.70x = 13,760.17 × 5,723.63
  4. Step 4: Simplify right side
    9,969.70x = 78,758,121.82
  5. Step 5: Solve for x
    x = 78,758,121.82/9,969.70
  6. Step 6: Final answer
    x = 7,899.75

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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.