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Finding the Fourth Proportional to 6,711.98, 9,262.53 and 3,917.48

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Solution

The fourth proportional to 6,711.98, 9,262.53 and 3,917.48 is: 5,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.98 : 9,262.53 = 3,917.48 : x
  2. Step 2: Convert to fraction form
    6,711.98/9,262.53 = 3,917.48/x
  3. Step 3: Cross multiply
    6,711.98x = 9,262.53 × 3,917.48
  4. Step 4: Simplify right side
    6,711.98x = 36,285,776.02
  5. Step 5: Solve for x
    x = 36,285,776.02/6,711.98
  6. Step 6: Final answer
    x = 5,406.12

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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.