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Finding the Fourth Proportional to 9,310.69, 12,859.72 and 6,161.41

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Solution

The fourth proportional to 9,310.69, 12,859.72 and 6,161.41 is: 8,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.69 : 12,859.72 = 6,161.41 : x
  2. Step 2: Convert to fraction form
    9,310.69/12,859.72 = 6,161.41/x
  3. Step 3: Cross multiply
    9,310.69x = 12,859.72 × 6,161.41
  4. Step 4: Simplify right side
    9,310.69x = 79,234,007.41
  5. Step 5: Solve for x
    x = 79,234,007.41/9,310.69
  6. Step 6: Final answer
    x = 8,510.00

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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.