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Finding the Fourth Proportional to 6,599, 9,106.43 and 3,766.32

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Solution

The fourth proportional to 6,599, 9,106.43 and 3,766.32 is: 5,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599 : 9,106.43 = 3,766.32 : x
  2. Step 2: Convert to fraction form
    6,599/9,106.43 = 3,766.32/x
  3. Step 3: Cross multiply
    6,599x = 9,106.43 × 3,766.32
  4. Step 4: Simplify right side
    6,599x = 34,297,729.44
  5. Step 5: Solve for x
    x = 34,297,729.44/6,599
  6. Step 6: Final answer
    x = 5,197.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.