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Finding the Fourth Proportional to 9,781.96, 14,671.30 and 3,540.79

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Solution

The fourth proportional to 9,781.96, 14,671.30 and 3,540.79 is: 5,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.96 : 14,671.30 = 3,540.79 : x
  2. Step 2: Convert to fraction form
    9,781.96/14,671.30 = 3,540.79/x
  3. Step 3: Cross multiply
    9,781.96x = 14,671.30 × 3,540.79
  4. Step 4: Simplify right side
    9,781.96x = 51,947,992.33
  5. Step 5: Solve for x
    x = 51,947,992.33/9,781.96
  6. Step 6: Final answer
    x = 5,310.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.