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Finding the Fourth Proportional to 6,713.19, 9,264.21 and 3,729.30

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Solution

The fourth proportional to 6,713.19, 9,264.21 and 3,729.30 is: 5,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.19 : 9,264.21 = 3,729.30 : x
  2. Step 2: Convert to fraction form
    6,713.19/9,264.21 = 3,729.30/x
  3. Step 3: Cross multiply
    6,713.19x = 9,264.21 × 3,729.30
  4. Step 4: Simplify right side
    6,713.19x = 34,549,050.50
  5. Step 5: Solve for x
    x = 34,549,050.50/6,713.19
  6. Step 6: Final answer
    x = 5,146.44

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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.