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Finding the Fourth Proportional to 6,918.66, 9,544.59 and 4,084.20

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Solution

The fourth proportional to 6,918.66, 9,544.59 and 4,084.20 is: 5,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.66 : 9,544.59 = 4,084.20 : x
  2. Step 2: Convert to fraction form
    6,918.66/9,544.59 = 4,084.20/x
  3. Step 3: Cross multiply
    6,918.66x = 9,544.59 × 4,084.20
  4. Step 4: Simplify right side
    6,918.66x = 38,982,014.48
  5. Step 5: Solve for x
    x = 38,982,014.48/6,918.66
  6. Step 6: Final answer
    x = 5,634.33

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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.