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Finding the Fourth Proportional to 6,713.75, 9,264.84 and 3,729.50

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Solution

The fourth proportional to 6,713.75, 9,264.84 and 3,729.50 is: 5,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.75 : 9,264.84 = 3,729.50 : x
  2. Step 2: Convert to fraction form
    6,713.75/9,264.84 = 3,729.50/x
  3. Step 3: Cross multiply
    6,713.75x = 9,264.84 × 3,729.50
  4. Step 4: Simplify right side
    6,713.75x = 34,553,220.78
  5. Step 5: Solve for x
    x = 34,553,220.78/6,713.75
  6. Step 6: Final answer
    x = 5,146.64

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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.