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Finding the Fourth Proportional to 9,801.44, 13,525.94 and 5,770.61

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Solution

The fourth proportional to 9,801.44, 13,525.94 and 5,770.61 is: 7,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.44 : 13,525.94 = 5,770.61 : x
  2. Step 2: Convert to fraction form
    9,801.44/13,525.94 = 5,770.61/x
  3. Step 3: Cross multiply
    9,801.44x = 13,525.94 × 5,770.61
  4. Step 4: Simplify right side
    9,801.44x = 78,052,828.14
  5. Step 5: Solve for x
    x = 78,052,828.14/9,801.44
  6. Step 6: Final answer
    x = 7,963.41

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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.