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Finding the Fourth Proportional to 9,563.38, 13,164.71 and 8,296.99

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Solution

The fourth proportional to 9,563.38, 13,164.71 and 8,296.99 is: 11,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.38 : 13,164.71 = 8,296.99 : x
  2. Step 2: Convert to fraction form
    9,563.38/13,164.71 = 8,296.99/x
  3. Step 3: Cross multiply
    9,563.38x = 13,164.71 × 8,296.99
  4. Step 4: Simplify right side
    9,563.38x = 109,227,392.83
  5. Step 5: Solve for x
    x = 109,227,392.83/9,563.38
  6. Step 6: Final answer
    x = 11,421.42

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Why These Related Problems?

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