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Finding the Fourth Proportional to 9,806.16, 13,529.24 and 5,556.82

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Solution

The fourth proportional to 9,806.16, 13,529.24 and 5,556.82 is: 7,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.16 : 13,529.24 = 5,556.82 : x
  2. Step 2: Convert to fraction form
    9,806.16/13,529.24 = 5,556.82/x
  3. Step 3: Cross multiply
    9,806.16x = 13,529.24 × 5,556.82
  4. Step 4: Simplify right side
    9,806.16x = 75,179,551.42
  5. Step 5: Solve for x
    x = 75,179,551.42/9,806.16
  6. Step 6: Final answer
    x = 7,666.56

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