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Finding the Fourth Proportional to 6,162.84, 9,234.54 and 5,573.16

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Solution

The fourth proportional to 6,162.84, 9,234.54 and 5,573.16 is: 8,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.84 : 9,234.54 = 5,573.16 : x
  2. Step 2: Convert to fraction form
    6,162.84/9,234.54 = 5,573.16/x
  3. Step 3: Cross multiply
    6,162.84x = 9,234.54 × 5,573.16
  4. Step 4: Simplify right side
    6,162.84x = 51,465,568.95
  5. Step 5: Solve for x
    x = 51,465,568.95/6,162.84
  6. Step 6: Final answer
    x = 8,350.95

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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.