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Finding the Fourth Proportional to 6,324.89, 9,486.49 and 1,882.47

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Solution

The fourth proportional to 6,324.89, 9,486.49 and 1,882.47 is: 2,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.89 : 9,486.49 = 1,882.47 : x
  2. Step 2: Convert to fraction form
    6,324.89/9,486.49 = 1,882.47/x
  3. Step 3: Cross multiply
    6,324.89x = 9,486.49 × 1,882.47
  4. Step 4: Simplify right side
    6,324.89x = 17,858,028.12
  5. Step 5: Solve for x
    x = 17,858,028.12/6,324.89
  6. Step 6: Final answer
    x = 2,823.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.