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Finding the Fourth Proportional to 9,401.86, 12,945.02 and 7,982.74

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Solution

The fourth proportional to 9,401.86, 12,945.02 and 7,982.74 is: 10,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.86 : 12,945.02 = 7,982.74 : x
  2. Step 2: Convert to fraction form
    9,401.86/12,945.02 = 7,982.74/x
  3. Step 3: Cross multiply
    9,401.86x = 12,945.02 × 7,982.74
  4. Step 4: Simplify right side
    9,401.86x = 103,336,728.95
  5. Step 5: Solve for x
    x = 103,336,728.95/9,401.86
  6. Step 6: Final answer
    x = 10,991.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.