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Finding the Fourth Proportional to 6,689.49, 9,233.01 and 4,171.11

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Solution

The fourth proportional to 6,689.49, 9,233.01 and 4,171.11 is: 5,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.49 : 9,233.01 = 4,171.11 : x
  2. Step 2: Convert to fraction form
    6,689.49/9,233.01 = 4,171.11/x
  3. Step 3: Cross multiply
    6,689.49x = 9,233.01 × 4,171.11
  4. Step 4: Simplify right side
    6,689.49x = 38,511,900.34
  5. Step 5: Solve for x
    x = 38,511,900.34/6,689.49
  6. Step 6: Final answer
    x = 5,757.08

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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.