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Finding the Fourth Proportional to 9,398.38, 12,971.92 and 5,860.92

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Solution

The fourth proportional to 9,398.38, 12,971.92 and 5,860.92 is: 8,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.38 : 12,971.92 = 5,860.92 : x
  2. Step 2: Convert to fraction form
    9,398.38/12,971.92 = 5,860.92/x
  3. Step 3: Cross multiply
    9,398.38x = 12,971.92 × 5,860.92
  4. Step 4: Simplify right side
    9,398.38x = 76,027,385.37
  5. Step 5: Solve for x
    x = 76,027,385.37/9,398.38
  6. Step 6: Final answer
    x = 8,089.41

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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.