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Finding the Fourth Proportional to 6,715.50, 9,267.42 and 3,921

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Solution

The fourth proportional to 6,715.50, 9,267.42 and 3,921 is: 5,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.50 : 9,267.42 = 3,921 : x
  2. Step 2: Convert to fraction form
    6,715.50/9,267.42 = 3,921/x
  3. Step 3: Cross multiply
    6,715.50x = 9,267.42 × 3,921
  4. Step 4: Simplify right side
    6,715.50x = 36,337,553.82
  5. Step 5: Solve for x
    x = 36,337,553.82/6,715.50
  6. Step 6: Final answer
    x = 5,411.00

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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.