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Finding the Fourth Proportional to 9,992.79, 13,790.16 and 5,745.96

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Solution

The fourth proportional to 9,992.79, 13,790.16 and 5,745.96 is: 7,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.79 : 13,790.16 = 5,745.96 : x
  2. Step 2: Convert to fraction form
    9,992.79/13,790.16 = 5,745.96/x
  3. Step 3: Cross multiply
    9,992.79x = 13,790.16 × 5,745.96
  4. Step 4: Simplify right side
    9,992.79x = 79,237,707.75
  5. Step 5: Solve for x
    x = 79,237,707.75/9,992.79
  6. Step 6: Final answer
    x = 7,929.49

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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.