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Finding the Fourth Proportional to 9,729.96, 14,593.56 and 5,556.42

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Solution

The fourth proportional to 9,729.96, 14,593.56 and 5,556.42 is: 8,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.96 : 14,593.56 = 5,556.42 : x
  2. Step 2: Convert to fraction form
    9,729.96/14,593.56 = 5,556.42/x
  3. Step 3: Cross multiply
    9,729.96x = 14,593.56 × 5,556.42
  4. Step 4: Simplify right side
    9,729.96x = 81,087,948.66
  5. Step 5: Solve for x
    x = 81,087,948.66/9,729.96
  6. Step 6: Final answer
    x = 8,333.84

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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.