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Finding the Fourth Proportional to 6,618.70, 9,134.56 and 3,634.81

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Solution

The fourth proportional to 6,618.70, 9,134.56 and 3,634.81 is: 5,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.70 : 9,134.56 = 3,634.81 : x
  2. Step 2: Convert to fraction form
    6,618.70/9,134.56 = 3,634.81/x
  3. Step 3: Cross multiply
    6,618.70x = 9,134.56 × 3,634.81
  4. Step 4: Simplify right side
    6,618.70x = 33,202,371.74
  5. Step 5: Solve for x
    x = 33,202,371.74/6,618.70
  6. Step 6: Final answer
    x = 5,016.45

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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.