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Finding the Fourth Proportional to 6,817.36, 9,409.92 and 4,023.76

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Solution

The fourth proportional to 6,817.36, 9,409.92 and 4,023.76 is: 5,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.36 : 9,409.92 = 4,023.76 : x
  2. Step 2: Convert to fraction form
    6,817.36/9,409.92 = 4,023.76/x
  3. Step 3: Cross multiply
    6,817.36x = 9,409.92 × 4,023.76
  4. Step 4: Simplify right side
    6,817.36x = 37,863,259.70
  5. Step 5: Solve for x
    x = 37,863,259.70/6,817.36
  6. Step 6: Final answer
    x = 5,553.95

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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.