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Finding the Fourth Proportional to 6,713.99, 9,264.83 and 3,729.70

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Solution

The fourth proportional to 6,713.99, 9,264.83 and 3,729.70 is: 5,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.99 : 9,264.83 = 3,729.70 : x
  2. Step 2: Convert to fraction form
    6,713.99/9,264.83 = 3,729.70/x
  3. Step 3: Cross multiply
    6,713.99x = 9,264.83 × 3,729.70
  4. Step 4: Simplify right side
    6,713.99x = 34,554,998.25
  5. Step 5: Solve for x
    x = 34,554,998.25/6,713.99
  6. Step 6: Final answer
    x = 5,146.72

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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.