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Finding the Fourth Proportional to 6,282.72, 9,419.36 and 3,816.96

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Solution

The fourth proportional to 6,282.72, 9,419.36 and 3,816.96 is: 5,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.72 : 9,419.36 = 3,816.96 : x
  2. Step 2: Convert to fraction form
    6,282.72/9,419.36 = 3,816.96/x
  3. Step 3: Cross multiply
    6,282.72x = 9,419.36 × 3,816.96
  4. Step 4: Simplify right side
    6,282.72x = 35,953,320.35
  5. Step 5: Solve for x
    x = 35,953,320.35/6,282.72
  6. Step 6: Final answer
    x = 5,722.57

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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.