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Finding the Fourth Proportional to 6,262.25, 9,393.38 and 1,645.25

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Solution

The fourth proportional to 6,262.25, 9,393.38 and 1,645.25 is: 2,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.25 : 9,393.38 = 1,645.25 : x
  2. Step 2: Convert to fraction form
    6,262.25/9,393.38 = 1,645.25/x
  3. Step 3: Cross multiply
    6,262.25x = 9,393.38 × 1,645.25
  4. Step 4: Simplify right side
    6,262.25x = 15,454,450.22
  5. Step 5: Solve for x
    x = 15,454,450.22/6,262.25
  6. Step 6: Final answer
    x = 2,467.88

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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.