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Finding the Fourth Proportional to 9,712.83, 13,399.05 and 5,731.26

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Solution

The fourth proportional to 9,712.83, 13,399.05 and 5,731.26 is: 7,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.83 : 13,399.05 = 5,731.26 : x
  2. Step 2: Convert to fraction form
    9,712.83/13,399.05 = 5,731.26/x
  3. Step 3: Cross multiply
    9,712.83x = 13,399.05 × 5,731.26
  4. Step 4: Simplify right side
    9,712.83x = 76,793,439.30
  5. Step 5: Solve for x
    x = 76,793,439.30/9,712.83
  6. Step 6: Final answer
    x = 7,906.39

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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.