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Finding the Fourth Proportional to 6,167.54, 9,256.82 and 2,882.45

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Solution

The fourth proportional to 6,167.54, 9,256.82 and 2,882.45 is: 4,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.54 : 9,256.82 = 2,882.45 : x
  2. Step 2: Convert to fraction form
    6,167.54/9,256.82 = 2,882.45/x
  3. Step 3: Cross multiply
    6,167.54x = 9,256.82 × 2,882.45
  4. Step 4: Simplify right side
    6,167.54x = 26,682,329.54
  5. Step 5: Solve for x
    x = 26,682,329.54/6,167.54
  6. Step 6: Final answer
    x = 4,326.25

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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.