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Finding the Fourth Proportional to 9,912.30, 13,688.22 and 6,381.64

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Solution

The fourth proportional to 9,912.30, 13,688.22 and 6,381.64 is: 8,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.30 : 13,688.22 = 6,381.64 : x
  2. Step 2: Convert to fraction form
    9,912.30/13,688.22 = 6,381.64/x
  3. Step 3: Cross multiply
    9,912.30x = 13,688.22 × 6,381.64
  4. Step 4: Simplify right side
    9,912.30x = 87,353,292.28
  5. Step 5: Solve for x
    x = 87,353,292.28/9,912.30
  6. Step 6: Final answer
    x = 8,812.62

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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.