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Finding the Fourth Proportional to 6,572.34, 9,839.07 and 3,967.38

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Solution

The fourth proportional to 6,572.34, 9,839.07 and 3,967.38 is: 5,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.34 : 9,839.07 = 3,967.38 : x
  2. Step 2: Convert to fraction form
    6,572.34/9,839.07 = 3,967.38/x
  3. Step 3: Cross multiply
    6,572.34x = 9,839.07 × 3,967.38
  4. Step 4: Simplify right side
    6,572.34x = 39,035,329.54
  5. Step 5: Solve for x
    x = 39,035,329.54/6,572.34
  6. Step 6: Final answer
    x = 5,939.34

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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.