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Finding the Fourth Proportional to 6,429.68, 8,872.62 and 3,635

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Solution

The fourth proportional to 6,429.68, 8,872.62 and 3,635 is: 5,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.68 : 8,872.62 = 3,635 : x
  2. Step 2: Convert to fraction form
    6,429.68/8,872.62 = 3,635/x
  3. Step 3: Cross multiply
    6,429.68x = 8,872.62 × 3,635
  4. Step 4: Simplify right side
    6,429.68x = 32,251,973.70
  5. Step 5: Solve for x
    x = 32,251,973.70/6,429.68
  6. Step 6: Final answer
    x = 5,016.11

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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.