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Finding the Fourth Proportional to 9,743.94, 13,447.76 and 5,766.44

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Solution

The fourth proportional to 9,743.94, 13,447.76 and 5,766.44 is: 7,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.94 : 13,447.76 = 5,766.44 : x
  2. Step 2: Convert to fraction form
    9,743.94/13,447.76 = 5,766.44/x
  3. Step 3: Cross multiply
    9,743.94x = 13,447.76 × 5,766.44
  4. Step 4: Simplify right side
    9,743.94x = 77,545,605.10
  5. Step 5: Solve for x
    x = 77,545,605.10/9,743.94
  6. Step 6: Final answer
    x = 7,958.34

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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.