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Finding the Fourth Proportional to 6,314.73, 8,713.95 and 3,482.24

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Solution

The fourth proportional to 6,314.73, 8,713.95 and 3,482.24 is: 4,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.73 : 8,713.95 = 3,482.24 : x
  2. Step 2: Convert to fraction form
    6,314.73/8,713.95 = 3,482.24/x
  3. Step 3: Cross multiply
    6,314.73x = 8,713.95 × 3,482.24
  4. Step 4: Simplify right side
    6,314.73x = 30,344,021.68
  5. Step 5: Solve for x
    x = 30,344,021.68/6,314.73
  6. Step 6: Final answer
    x = 4,805.28

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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.