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Finding the Fourth Proportional to 9,766.17, 14,648.09 and 2,552.85

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Solution

The fourth proportional to 9,766.17, 14,648.09 and 2,552.85 is: 3,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.17 : 14,648.09 = 2,552.85 : x
  2. Step 2: Convert to fraction form
    9,766.17/14,648.09 = 2,552.85/x
  3. Step 3: Cross multiply
    9,766.17x = 14,648.09 × 2,552.85
  4. Step 4: Simplify right side
    9,766.17x = 37,394,382.94
  5. Step 5: Solve for x
    x = 37,394,382.94/9,766.17
  6. Step 6: Final answer
    x = 3,828.97

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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.