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Finding the Fourth Proportional to 6,396.64, 8,828 and 3,743.89

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Solution

The fourth proportional to 6,396.64, 8,828 and 3,743.89 is: 5,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.64 : 8,828 = 3,743.89 : x
  2. Step 2: Convert to fraction form
    6,396.64/8,828 = 3,743.89/x
  3. Step 3: Cross multiply
    6,396.64x = 8,828 × 3,743.89
  4. Step 4: Simplify right side
    6,396.64x = 33,051,060.92
  5. Step 5: Solve for x
    x = 33,051,060.92/6,396.64
  6. Step 6: Final answer
    x = 5,166.94

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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.