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Finding the Fourth Proportional to 9,911.16, 13,694.40 and 9,556.38

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Solution

The fourth proportional to 9,911.16, 13,694.40 and 9,556.38 is: 13,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.16 : 13,694.40 = 9,556.38 : x
  2. Step 2: Convert to fraction form
    9,911.16/13,694.40 = 9,556.38/x
  3. Step 3: Cross multiply
    9,911.16x = 13,694.40 × 9,556.38
  4. Step 4: Simplify right side
    9,911.16x = 130,868,890.27
  5. Step 5: Solve for x
    x = 130,868,890.27/9,911.16
  6. Step 6: Final answer
    x = 13,204.20

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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.