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Finding the Fourth Proportional to 6,429.96, 8,873.42 and 3,777.48

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Solution

The fourth proportional to 6,429.96, 8,873.42 and 3,777.48 is: 5,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.96 : 8,873.42 = 3,777.48 : x
  2. Step 2: Convert to fraction form
    6,429.96/8,873.42 = 3,777.48/x
  3. Step 3: Cross multiply
    6,429.96x = 8,873.42 × 3,777.48
  4. Step 4: Simplify right side
    6,429.96x = 33,519,166.58
  5. Step 5: Solve for x
    x = 33,519,166.58/6,429.96
  6. Step 6: Final answer
    x = 5,212.97

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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.