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Finding the Fourth Proportional to 9,716.20, 13,401.25 and 6,353.62

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Solution

The fourth proportional to 9,716.20, 13,401.25 and 6,353.62 is: 8,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.20 : 13,401.25 = 6,353.62 : x
  2. Step 2: Convert to fraction form
    9,716.20/13,401.25 = 6,353.62/x
  3. Step 3: Cross multiply
    9,716.20x = 13,401.25 × 6,353.62
  4. Step 4: Simplify right side
    9,716.20x = 85,146,450.03
  5. Step 5: Solve for x
    x = 85,146,450.03/9,716.20
  6. Step 6: Final answer
    x = 8,763.35

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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.