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Finding the Fourth Proportional to 6,713.04, 9,263.97 and 3,729.30

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Solution

The fourth proportional to 6,713.04, 9,263.97 and 3,729.30 is: 5,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.04 : 9,263.97 = 3,729.30 : x
  2. Step 2: Convert to fraction form
    6,713.04/9,263.97 = 3,729.30/x
  3. Step 3: Cross multiply
    6,713.04x = 9,263.97 × 3,729.30
  4. Step 4: Simplify right side
    6,713.04x = 34,548,123.32
  5. Step 5: Solve for x
    x = 34,548,123.32/6,713.04
  6. Step 6: Final answer
    x = 5,146.42

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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.