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Finding the Fourth Proportional to 6,419.84, 9,609.20 and 3,450.88

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Solution

The fourth proportional to 6,419.84, 9,609.20 and 3,450.88 is: 5,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.84 : 9,609.20 = 3,450.88 : x
  2. Step 2: Convert to fraction form
    6,419.84/9,609.20 = 3,450.88/x
  3. Step 3: Cross multiply
    6,419.84x = 9,609.20 × 3,450.88
  4. Step 4: Simplify right side
    6,419.84x = 33,160,196.10
  5. Step 5: Solve for x
    x = 33,160,196.10/6,419.84
  6. Step 6: Final answer
    x = 5,165.27

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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.