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Finding the Fourth Proportional to 9,960.96, 13,745.82 and 5,712.69

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Solution

The fourth proportional to 9,960.96, 13,745.82 and 5,712.69 is: 7,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.96 : 13,745.82 = 5,712.69 : x
  2. Step 2: Convert to fraction form
    9,960.96/13,745.82 = 5,712.69/x
  3. Step 3: Cross multiply
    9,960.96x = 13,745.82 × 5,712.69
  4. Step 4: Simplify right side
    9,960.96x = 78,525,608.46
  5. Step 5: Solve for x
    x = 78,525,608.46/9,960.96
  6. Step 6: Final answer
    x = 7,883.34

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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.