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Finding the Fourth Proportional to 9,806.38, 13,529.80 and 5,556.76

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Solution

The fourth proportional to 9,806.38, 13,529.80 and 5,556.76 is: 7,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.38 : 13,529.80 = 5,556.76 : x
  2. Step 2: Convert to fraction form
    9,806.38/13,529.80 = 5,556.76/x
  3. Step 3: Cross multiply
    9,806.38x = 13,529.80 × 5,556.76
  4. Step 4: Simplify right side
    9,806.38x = 75,181,851.45
  5. Step 5: Solve for x
    x = 75,181,851.45/9,806.38
  6. Step 6: Final answer
    x = 7,666.63

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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.