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Finding the Fourth Proportional to 6,282.84, 9,423.60 and 3,161.57

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Solution

The fourth proportional to 6,282.84, 9,423.60 and 3,161.57 is: 4,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.84 : 9,423.60 = 3,161.57 : x
  2. Step 2: Convert to fraction form
    6,282.84/9,423.60 = 3,161.57/x
  3. Step 3: Cross multiply
    6,282.84x = 9,423.60 × 3,161.57
  4. Step 4: Simplify right side
    6,282.84x = 29,793,371.05
  5. Step 5: Solve for x
    x = 29,793,371.05/6,282.84
  6. Step 6: Final answer
    x = 4,742.02

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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.