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Finding the Fourth Proportional to 6,257.70, 9,383.00 and 2,555.60

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Solution

The fourth proportional to 6,257.70, 9,383.00 and 2,555.60 is: 3,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.70 : 9,383.00 = 2,555.60 : x
  2. Step 2: Convert to fraction form
    6,257.70/9,383.00 = 2,555.60/x
  3. Step 3: Cross multiply
    6,257.70x = 9,383.00 × 2,555.60
  4. Step 4: Simplify right side
    6,257.70x = 23,979,135.11
  5. Step 5: Solve for x
    x = 23,979,135.11/6,257.70
  6. Step 6: Final answer
    x = 3,831.94

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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.