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Finding the Fourth Proportional to 9,799.94, 13,523.87 and 5,769.11

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Solution

The fourth proportional to 9,799.94, 13,523.87 and 5,769.11 is: 7,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.94 : 13,523.87 = 5,769.11 : x
  2. Step 2: Convert to fraction form
    9,799.94/13,523.87 = 5,769.11/x
  3. Step 3: Cross multiply
    9,799.94x = 13,523.87 × 5,769.11
  4. Step 4: Simplify right side
    9,799.94x = 78,020,597.19
  5. Step 5: Solve for x
    x = 78,020,597.19/9,799.94
  6. Step 6: Final answer
    x = 7,961.34

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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.