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Finding the Fourth Proportional to 9,306.54, 12,846.33 and 6,163.74

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Solution

The fourth proportional to 9,306.54, 12,846.33 and 6,163.74 is: 8,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.54 : 12,846.33 = 6,163.74 : x
  2. Step 2: Convert to fraction form
    9,306.54/12,846.33 = 6,163.74/x
  3. Step 3: Cross multiply
    9,306.54x = 12,846.33 × 6,163.74
  4. Step 4: Simplify right side
    9,306.54x = 79,181,438.07
  5. Step 5: Solve for x
    x = 79,181,438.07/9,306.54
  6. Step 6: Final answer
    x = 8,508.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.