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Finding the Fourth Proportional to 6,980, 9,631.60 and 3,995.66

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Solution

The fourth proportional to 6,980, 9,631.60 and 3,995.66 is: 5,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 9,631.60 = 3,995.66 : x
  2. Step 2: Convert to fraction form
    6,980/9,631.60 = 3,995.66/x
  3. Step 3: Cross multiply
    6,980x = 9,631.60 × 3,995.66
  4. Step 4: Simplify right side
    6,980x = 38,484,578.88
  5. Step 5: Solve for x
    x = 38,484,578.88/6,980
  6. Step 6: Final answer
    x = 5,513.55

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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.