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Finding the Fourth Proportional to 6,713.34, 9,264.28 and 3,729.04

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Solution

The fourth proportional to 6,713.34, 9,264.28 and 3,729.04 is: 5,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.34 : 9,264.28 = 3,729.04 : x
  2. Step 2: Convert to fraction form
    6,713.34/9,264.28 = 3,729.04/x
  3. Step 3: Cross multiply
    6,713.34x = 9,264.28 × 3,729.04
  4. Step 4: Simplify right side
    6,713.34x = 34,546,870.69
  5. Step 5: Solve for x
    x = 34,546,870.69/6,713.34
  6. Step 6: Final answer
    x = 5,146.00

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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.