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Finding the Fourth Proportional to 9,842.52, 13,578.39 and 6,255.56

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Solution

The fourth proportional to 9,842.52, 13,578.39 and 6,255.56 is: 8,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.52 : 13,578.39 = 6,255.56 : x
  2. Step 2: Convert to fraction form
    9,842.52/13,578.39 = 6,255.56/x
  3. Step 3: Cross multiply
    9,842.52x = 13,578.39 × 6,255.56
  4. Step 4: Simplify right side
    9,842.52x = 84,940,433.35
  5. Step 5: Solve for x
    x = 84,940,433.35/9,842.52
  6. Step 6: Final answer
    x = 8,629.95

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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.