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Finding the Fourth Proportional to 9,964.10, 13,735.43 and 8,192.63

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Solution

The fourth proportional to 9,964.10, 13,735.43 and 8,192.63 is: 11,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.10 : 13,735.43 = 8,192.63 : x
  2. Step 2: Convert to fraction form
    9,964.10/13,735.43 = 8,192.63/x
  3. Step 3: Cross multiply
    9,964.10x = 13,735.43 × 8,192.63
  4. Step 4: Simplify right side
    9,964.10x = 112,529,295.88
  5. Step 5: Solve for x
    x = 112,529,295.88/9,964.10
  6. Step 6: Final answer
    x = 11,293.47

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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.