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Finding the Fourth Proportional to 9,163.84, 13,715.70 and 6,960.46

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Solution

The fourth proportional to 9,163.84, 13,715.70 and 6,960.46 is: 10,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.84 : 13,715.70 = 6,960.46 : x
  2. Step 2: Convert to fraction form
    9,163.84/13,715.70 = 6,960.46/x
  3. Step 3: Cross multiply
    9,163.84x = 13,715.70 × 6,960.46
  4. Step 4: Simplify right side
    9,163.84x = 95,467,581.22
  5. Step 5: Solve for x
    x = 95,467,581.22/9,163.84
  6. Step 6: Final answer
    x = 10,417.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.