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Finding the Fourth Proportional to 6,429.96, 8,872.47 and 3,776.94

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Solution

The fourth proportional to 6,429.96, 8,872.47 and 3,776.94 is: 5,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.96 : 8,872.47 = 3,776.94 : x
  2. Step 2: Convert to fraction form
    6,429.96/8,872.47 = 3,776.94/x
  3. Step 3: Cross multiply
    6,429.96x = 8,872.47 × 3,776.94
  4. Step 4: Simplify right side
    6,429.96x = 33,510,786.84
  5. Step 5: Solve for x
    x = 33,510,786.84/6,429.96
  6. Step 6: Final answer
    x = 5,211.66

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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.