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Finding the Fourth Proportional to 6,424.96, 9,636 and 3,828.64

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Solution

The fourth proportional to 6,424.96, 9,636 and 3,828.64 is: 5,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.96 : 9,636 = 3,828.64 : x
  2. Step 2: Convert to fraction form
    6,424.96/9,636 = 3,828.64/x
  3. Step 3: Cross multiply
    6,424.96x = 9,636 × 3,828.64
  4. Step 4: Simplify right side
    6,424.96x = 36,892,775.04
  5. Step 5: Solve for x
    x = 36,892,775.04/6,424.96
  6. Step 6: Final answer
    x = 5,742.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.