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Finding the Fourth Proportional to 6,279.76, 9,419.64 and 2,383.24

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Solution

The fourth proportional to 6,279.76, 9,419.64 and 2,383.24 is: 3,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.76 : 9,419.64 = 2,383.24 : x
  2. Step 2: Convert to fraction form
    6,279.76/9,419.64 = 2,383.24/x
  3. Step 3: Cross multiply
    6,279.76x = 9,419.64 × 2,383.24
  4. Step 4: Simplify right side
    6,279.76x = 22,449,262.83
  5. Step 5: Solve for x
    x = 22,449,262.83/6,279.76
  6. Step 6: Final answer
    x = 3,574.86

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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.