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Finding the Fourth Proportional to 9,175.82, 13,755.44 and 3,328.31

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Solution

The fourth proportional to 9,175.82, 13,755.44 and 3,328.31 is: 4,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.82 : 13,755.44 = 3,328.31 : x
  2. Step 2: Convert to fraction form
    9,175.82/13,755.44 = 3,328.31/x
  3. Step 3: Cross multiply
    9,175.82x = 13,755.44 × 3,328.31
  4. Step 4: Simplify right side
    9,175.82x = 45,782,411.22
  5. Step 5: Solve for x
    x = 45,782,411.22/9,175.82
  6. Step 6: Final answer
    x = 4,989.47

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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.