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Finding the Fourth Proportional to 6,325.41, 9,488.31 and 1,645.32

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Solution

The fourth proportional to 6,325.41, 9,488.31 and 1,645.32 is: 2,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.41 : 9,488.31 = 1,645.32 : x
  2. Step 2: Convert to fraction form
    6,325.41/9,488.31 = 1,645.32/x
  3. Step 3: Cross multiply
    6,325.41x = 9,488.31 × 1,645.32
  4. Step 4: Simplify right side
    6,325.41x = 15,611,297.98
  5. Step 5: Solve for x
    x = 15,611,297.98/6,325.41
  6. Step 6: Final answer
    x = 2,468.03

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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.