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Finding the Fourth Proportional to 6,982.49, 9,632.63 and 6,186.63

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Solution

The fourth proportional to 6,982.49, 9,632.63 and 6,186.63 is: 8,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.49 : 9,632.63 = 6,186.63 : x
  2. Step 2: Convert to fraction form
    6,982.49/9,632.63 = 6,186.63/x
  3. Step 3: Cross multiply
    6,982.49x = 9,632.63 × 6,186.63
  4. Step 4: Simplify right side
    6,982.49x = 59,593,517.74
  5. Step 5: Solve for x
    x = 59,593,517.74/6,982.49
  6. Step 6: Final answer
    x = 8,534.71

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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.