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Finding the Fourth Proportional to 9,717.40, 13,401.21 and 6,359.14

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Solution

The fourth proportional to 9,717.40, 13,401.21 and 6,359.14 is: 8,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.40 : 13,401.21 = 6,359.14 : x
  2. Step 2: Convert to fraction form
    9,717.40/13,401.21 = 6,359.14/x
  3. Step 3: Cross multiply
    9,717.40x = 13,401.21 × 6,359.14
  4. Step 4: Simplify right side
    9,717.40x = 85,220,170.56
  5. Step 5: Solve for x
    x = 85,220,170.56/9,717.40
  6. Step 6: Final answer
    x = 8,769.85

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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.