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Finding the Fourth Proportional to 9,964.48, 13,735.96 and 8,193.01

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Solution

The fourth proportional to 9,964.48, 13,735.96 and 8,193.01 is: 11,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.48 : 13,735.96 = 8,193.01 : x
  2. Step 2: Convert to fraction form
    9,964.48/13,735.96 = 8,193.01/x
  3. Step 3: Cross multiply
    9,964.48x = 13,735.96 × 8,193.01
  4. Step 4: Simplify right side
    9,964.48x = 112,538,747.99
  5. Step 5: Solve for x
    x = 112,538,747.99/9,964.48
  6. Step 6: Final answer
    x = 11,294.00

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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.