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Finding the Fourth Proportional to 6,344.46, 9,519.42 and 3,419.34

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Solution

The fourth proportional to 6,344.46, 9,519.42 and 3,419.34 is: 5,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.46 : 9,519.42 = 3,419.34 : x
  2. Step 2: Convert to fraction form
    6,344.46/9,519.42 = 3,419.34/x
  3. Step 3: Cross multiply
    6,344.46x = 9,519.42 × 3,419.34
  4. Step 4: Simplify right side
    6,344.46x = 32,550,133.58
  5. Step 5: Solve for x
    x = 32,550,133.58/6,344.46
  6. Step 6: Final answer
    x = 5,130.48

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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.