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Finding the Fourth Proportional to 9,506.46, 13,118.44 and 5,729.44

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Solution

The fourth proportional to 9,506.46, 13,118.44 and 5,729.44 is: 7,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.46 : 13,118.44 = 5,729.44 : x
  2. Step 2: Convert to fraction form
    9,506.46/13,118.44 = 5,729.44/x
  3. Step 3: Cross multiply
    9,506.46x = 13,118.44 × 5,729.44
  4. Step 4: Simplify right side
    9,506.46x = 75,161,314.87
  5. Step 5: Solve for x
    x = 75,161,314.87/9,506.46
  6. Step 6: Final answer
    x = 7,906.34

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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.