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Finding the Fourth Proportional to 6,084.84, 9,124.22 and 3,162.28

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Solution

The fourth proportional to 6,084.84, 9,124.22 and 3,162.28 is: 4,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.84 : 9,124.22 = 3,162.28 : x
  2. Step 2: Convert to fraction form
    6,084.84/9,124.22 = 3,162.28/x
  3. Step 3: Cross multiply
    6,084.84x = 9,124.22 × 3,162.28
  4. Step 4: Simplify right side
    6,084.84x = 28,853,338.42
  5. Step 5: Solve for x
    x = 28,853,338.42/6,084.84
  6. Step 6: Final answer
    x = 4,741.84

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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.