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Finding the Fourth Proportional to 9,491.79, 14,268.41 and 8,806.98

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Solution

The fourth proportional to 9,491.79, 14,268.41 and 8,806.98 is: 13,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.79 : 14,268.41 = 8,806.98 : x
  2. Step 2: Convert to fraction form
    9,491.79/14,268.41 = 8,806.98/x
  3. Step 3: Cross multiply
    9,491.79x = 14,268.41 × 8,806.98
  4. Step 4: Simplify right side
    9,491.79x = 125,661,601.50
  5. Step 5: Solve for x
    x = 125,661,601.50/9,491.79
  6. Step 6: Final answer
    x = 13,238.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.