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Finding the Fourth Proportional to 6,296.26, 9,440.34 and 3,009.28

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Solution

The fourth proportional to 6,296.26, 9,440.34 and 3,009.28 is: 4,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.26 : 9,440.34 = 3,009.28 : x
  2. Step 2: Convert to fraction form
    6,296.26/9,440.34 = 3,009.28/x
  3. Step 3: Cross multiply
    6,296.26x = 9,440.34 × 3,009.28
  4. Step 4: Simplify right side
    6,296.26x = 28,408,626.36
  5. Step 5: Solve for x
    x = 28,408,626.36/6,296.26
  6. Step 6: Final answer
    x = 4,511.98

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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.