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Finding the Fourth Proportional to 6,713.36, 9,267.60 and 5,217.68

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Solution

The fourth proportional to 6,713.36, 9,267.60 and 5,217.68 is: 7,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.36 : 9,267.60 = 5,217.68 : x
  2. Step 2: Convert to fraction form
    6,713.36/9,267.60 = 5,217.68/x
  3. Step 3: Cross multiply
    6,713.36x = 9,267.60 × 5,217.68
  4. Step 4: Simplify right side
    6,713.36x = 48,355,371.17
  5. Step 5: Solve for x
    x = 48,355,371.17/6,713.36
  6. Step 6: Final answer
    x = 7,202.86

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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.