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Finding the Fourth Proportional to 9,401.64, 12,976.83 and 5,862.75

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Solution

The fourth proportional to 9,401.64, 12,976.83 and 5,862.75 is: 8,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.64 : 12,976.83 = 5,862.75 : x
  2. Step 2: Convert to fraction form
    9,401.64/12,976.83 = 5,862.75/x
  3. Step 3: Cross multiply
    9,401.64x = 12,976.83 × 5,862.75
  4. Step 4: Simplify right side
    9,401.64x = 76,079,910.08
  5. Step 5: Solve for x
    x = 76,079,910.08/9,401.64
  6. Step 6: Final answer
    x = 8,092.20

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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.