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Finding the Fourth Proportional to 6,980, 9,632.78 and 3,995.14

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Solution

The fourth proportional to 6,980, 9,632.78 and 3,995.14 is: 5,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 9,632.78 = 3,995.14 : x
  2. Step 2: Convert to fraction form
    6,980/9,632.78 = 3,995.14/x
  3. Step 3: Cross multiply
    6,980x = 9,632.78 × 3,995.14
  4. Step 4: Simplify right side
    6,980x = 38,484,304.69
  5. Step 5: Solve for x
    x = 38,484,304.69/6,980
  6. Step 6: Final answer
    x = 5,513.51

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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.