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Finding the Fourth Proportional to 9,238.47, 12,741.89 and 8,177.37

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Solution

The fourth proportional to 9,238.47, 12,741.89 and 8,177.37 is: 11,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.47 : 12,741.89 = 8,177.37 : x
  2. Step 2: Convert to fraction form
    9,238.47/12,741.89 = 8,177.37/x
  3. Step 3: Cross multiply
    9,238.47x = 12,741.89 × 8,177.37
  4. Step 4: Simplify right side
    9,238.47x = 104,195,108.14
  5. Step 5: Solve for x
    x = 104,195,108.14/9,238.47
  6. Step 6: Final answer
    x = 11,278.39

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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.