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Finding the Fourth Proportional to 9,786.27, 13,422.02 and 9,384.41

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Solution

The fourth proportional to 9,786.27, 13,422.02 and 9,384.41 is: 12,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.27 : 13,422.02 = 9,384.41 : x
  2. Step 2: Convert to fraction form
    9,786.27/13,422.02 = 9,384.41/x
  3. Step 3: Cross multiply
    9,786.27x = 13,422.02 × 9,384.41
  4. Step 4: Simplify right side
    9,786.27x = 125,957,738.71
  5. Step 5: Solve for x
    x = 125,957,738.71/9,786.27
  6. Step 6: Final answer
    x = 12,870.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.