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Finding the Fourth Proportional to 9,964.98, 13,736.64 and 8,193.51

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Solution

The fourth proportional to 9,964.98, 13,736.64 and 8,193.51 is: 11,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.98 : 13,736.64 = 8,193.51 : x
  2. Step 2: Convert to fraction form
    9,964.98/13,736.64 = 8,193.51/x
  3. Step 3: Cross multiply
    9,964.98x = 13,736.64 × 8,193.51
  4. Step 4: Simplify right side
    9,964.98x = 112,551,297.21
  5. Step 5: Solve for x
    x = 112,551,297.21/9,964.98
  6. Step 6: Final answer
    x = 11,294.68

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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.