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Finding the Fourth Proportional to 9,410.97, 14,117.98 and 3,171.54

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Solution

The fourth proportional to 9,410.97, 14,117.98 and 3,171.54 is: 4,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.97 : 14,117.98 = 3,171.54 : x
  2. Step 2: Convert to fraction form
    9,410.97/14,117.98 = 3,171.54/x
  3. Step 3: Cross multiply
    9,410.97x = 14,117.98 × 3,171.54
  4. Step 4: Simplify right side
    9,410.97x = 44,775,738.29
  5. Step 5: Solve for x
    x = 44,775,738.29/9,410.97
  6. Step 6: Final answer
    x = 4,757.82

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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.