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Finding the Fourth Proportional to 9,824.82, 13,555.92 and 5,574.94

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Solution

The fourth proportional to 9,824.82, 13,555.92 and 5,574.94 is: 7,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.82 : 13,555.92 = 5,574.94 : x
  2. Step 2: Convert to fraction form
    9,824.82/13,555.92 = 5,574.94/x
  3. Step 3: Cross multiply
    9,824.82x = 13,555.92 × 5,574.94
  4. Step 4: Simplify right side
    9,824.82x = 75,573,440.64
  5. Step 5: Solve for x
    x = 75,573,440.64/9,824.82
  6. Step 6: Final answer
    x = 7,692.09

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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.