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Finding the Fourth Proportional to 9,796.33, 14,700.33 and 3,556.84

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Solution

The fourth proportional to 9,796.33, 14,700.33 and 3,556.84 is: 5,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.33 : 14,700.33 = 3,556.84 : x
  2. Step 2: Convert to fraction form
    9,796.33/14,700.33 = 3,556.84/x
  3. Step 3: Cross multiply
    9,796.33x = 14,700.33 × 3,556.84
  4. Step 4: Simplify right side
    9,796.33x = 52,286,648.26
  5. Step 5: Solve for x
    x = 52,286,648.26/9,796.33
  6. Step 6: Final answer
    x = 5,337.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.