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Finding the Fourth Proportional to 6,715.69, 9,270.15 and 5,767.68

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Solution

The fourth proportional to 6,715.69, 9,270.15 and 5,767.68 is: 7,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.69 : 9,270.15 = 5,767.68 : x
  2. Step 2: Convert to fraction form
    6,715.69/9,270.15 = 5,767.68/x
  3. Step 3: Cross multiply
    6,715.69x = 9,270.15 × 5,767.68
  4. Step 4: Simplify right side
    6,715.69x = 53,467,258.75
  5. Step 5: Solve for x
    x = 53,467,258.75/6,715.69
  6. Step 6: Final answer
    x = 7,961.54

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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.