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Finding the Fourth Proportional to 9,179.48, 12,667.26 and 5,201.18

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Solution

The fourth proportional to 9,179.48, 12,667.26 and 5,201.18 is: 7,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.48 : 12,667.26 = 5,201.18 : x
  2. Step 2: Convert to fraction form
    9,179.48/12,667.26 = 5,201.18/x
  3. Step 3: Cross multiply
    9,179.48x = 12,667.26 × 5,201.18
  4. Step 4: Simplify right side
    9,179.48x = 65,884,699.37
  5. Step 5: Solve for x
    x = 65,884,699.37/9,179.48
  6. Step 6: Final answer
    x = 7,177.39

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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.