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Finding the Fourth Proportional to 9,763.03, 13,462.91 and 8,351.39

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Solution

The fourth proportional to 9,763.03, 13,462.91 and 8,351.39 is: 11,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.03 : 13,462.91 = 8,351.39 : x
  2. Step 2: Convert to fraction form
    9,763.03/13,462.91 = 8,351.39/x
  3. Step 3: Cross multiply
    9,763.03x = 13,462.91 × 8,351.39
  4. Step 4: Simplify right side
    9,763.03x = 112,434,011.94
  5. Step 5: Solve for x
    x = 112,434,011.94/9,763.03
  6. Step 6: Final answer
    x = 11,516.30

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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.