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Finding the Fourth Proportional to 6,517.69, 9,001.83 and 4,418.17

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Solution

The fourth proportional to 6,517.69, 9,001.83 and 4,418.17 is: 6,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.69 : 9,001.83 = 4,418.17 : x
  2. Step 2: Convert to fraction form
    6,517.69/9,001.83 = 4,418.17/x
  3. Step 3: Cross multiply
    6,517.69x = 9,001.83 × 4,418.17
  4. Step 4: Simplify right side
    6,517.69x = 39,771,609.31
  5. Step 5: Solve for x
    x = 39,771,609.31/6,517.69
  6. Step 6: Final answer
    x = 6,102.10

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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.