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Finding the Fourth Proportional to 6,279.53, 9,416.25 and 4,201.88

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Solution

The fourth proportional to 6,279.53, 9,416.25 and 4,201.88 is: 6,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.53 : 9,416.25 = 4,201.88 : x
  2. Step 2: Convert to fraction form
    6,279.53/9,416.25 = 4,201.88/x
  3. Step 3: Cross multiply
    6,279.53x = 9,416.25 × 4,201.88
  4. Step 4: Simplify right side
    6,279.53x = 39,565,905.47
  5. Step 5: Solve for x
    x = 39,565,905.47/6,279.53
  6. Step 6: Final answer
    x = 6,300.78

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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.