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Finding the Fourth Proportional to 9,029.44, 13,549.93 and 3,835.31

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Solution

The fourth proportional to 9,029.44, 13,549.93 and 3,835.31 is: 5,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.44 : 13,549.93 = 3,835.31 : x
  2. Step 2: Convert to fraction form
    9,029.44/13,549.93 = 3,835.31/x
  3. Step 3: Cross multiply
    9,029.44x = 13,549.93 × 3,835.31
  4. Step 4: Simplify right side
    9,029.44x = 51,968,182.03
  5. Step 5: Solve for x
    x = 51,968,182.03/9,029.44
  6. Step 6: Final answer
    x = 5,755.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.