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Finding the Fourth Proportional to 6,364.98, 9,537.48 and 2,467.26

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Solution

The fourth proportional to 6,364.98, 9,537.48 and 2,467.26 is: 3,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.98 : 9,537.48 = 2,467.26 : x
  2. Step 2: Convert to fraction form
    6,364.98/9,537.48 = 2,467.26/x
  3. Step 3: Cross multiply
    6,364.98x = 9,537.48 × 2,467.26
  4. Step 4: Simplify right side
    6,364.98x = 23,531,442.90
  5. Step 5: Solve for x
    x = 23,531,442.90/6,364.98
  6. Step 6: Final answer
    x = 3,697.02

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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.