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Finding the Fourth Proportional to 6,348.41, 8,763.79 and 4,227.47

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Solution

The fourth proportional to 6,348.41, 8,763.79 and 4,227.47 is: 5,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.41 : 8,763.79 = 4,227.47 : x
  2. Step 2: Convert to fraction form
    6,348.41/8,763.79 = 4,227.47/x
  3. Step 3: Cross multiply
    6,348.41x = 8,763.79 × 4,227.47
  4. Step 4: Simplify right side
    6,348.41x = 37,048,615.49
  5. Step 5: Solve for x
    x = 37,048,615.49/6,348.41
  6. Step 6: Final answer
    x = 5,835.89

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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.