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Finding the Fourth Proportional to 9,204.48, 13,808.43 and 8,369.82

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Solution

The fourth proportional to 9,204.48, 13,808.43 and 8,369.82 is: 12,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.48 : 13,808.43 = 8,369.82 : x
  2. Step 2: Convert to fraction form
    9,204.48/13,808.43 = 8,369.82/x
  3. Step 3: Cross multiply
    9,204.48x = 13,808.43 × 8,369.82
  4. Step 4: Simplify right side
    9,204.48x = 115,574,073.58
  5. Step 5: Solve for x
    x = 115,574,073.58/9,204.48
  6. Step 6: Final answer
    x = 12,556.28

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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.