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Finding the Fourth Proportional to 9,960.37, 13,745.63 and 5,711.01

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Solution

The fourth proportional to 9,960.37, 13,745.63 and 5,711.01 is: 7,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.37 : 13,745.63 = 5,711.01 : x
  2. Step 2: Convert to fraction form
    9,960.37/13,745.63 = 5,711.01/x
  3. Step 3: Cross multiply
    9,960.37x = 13,745.63 × 5,711.01
  4. Step 4: Simplify right side
    9,960.37x = 78,501,393.12
  5. Step 5: Solve for x
    x = 78,501,393.12/9,960.37
  6. Step 6: Final answer
    x = 7,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.