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Finding the Fourth Proportional to 9,960.78, 13,745.93 and 5,712.00

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Solution

The fourth proportional to 9,960.78, 13,745.93 and 5,712.00 is: 7,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.78 : 13,745.93 = 5,712.00 : x
  2. Step 2: Convert to fraction form
    9,960.78/13,745.93 = 5,712.00/x
  3. Step 3: Cross multiply
    9,960.78x = 13,745.93 × 5,712.00
  4. Step 4: Simplify right side
    9,960.78x = 78,516,765.44
  5. Step 5: Solve for x
    x = 78,516,765.44/9,960.78
  6. Step 6: Final answer
    x = 7,882.59

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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.