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Finding the Fourth Proportional to 9,923.82, 13,694.63 and 5,447.55

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Solution

The fourth proportional to 9,923.82, 13,694.63 and 5,447.55 is: 7,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.82 : 13,694.63 = 5,447.55 : x
  2. Step 2: Convert to fraction form
    9,923.82/13,694.63 = 5,447.55/x
  3. Step 3: Cross multiply
    9,923.82x = 13,694.63 × 5,447.55
  4. Step 4: Simplify right side
    9,923.82x = 74,602,154.42
  5. Step 5: Solve for x
    x = 74,602,154.42/9,923.82
  6. Step 6: Final answer
    x = 7,517.48

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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.