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Finding the Fourth Proportional to 6,344.70, 9,511.57 and 3,053.26

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Solution

The fourth proportional to 6,344.70, 9,511.57 and 3,053.26 is: 4,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.70 : 9,511.57 = 3,053.26 : x
  2. Step 2: Convert to fraction form
    6,344.70/9,511.57 = 3,053.26/x
  3. Step 3: Cross multiply
    6,344.70x = 9,511.57 × 3,053.26
  4. Step 4: Simplify right side
    6,344.70x = 29,041,296.22
  5. Step 5: Solve for x
    x = 29,041,296.22/6,344.70
  6. Step 6: Final answer
    x = 4,577.26

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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.