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Finding the Fourth Proportional to 6,314.82, 8,714.46 and 3,482.13

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Solution

The fourth proportional to 6,314.82, 8,714.46 and 3,482.13 is: 4,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.82 : 8,714.46 = 3,482.13 : x
  2. Step 2: Convert to fraction form
    6,314.82/8,714.46 = 3,482.13/x
  3. Step 3: Cross multiply
    6,314.82x = 8,714.46 × 3,482.13
  4. Step 4: Simplify right side
    6,314.82x = 30,344,882.60
  5. Step 5: Solve for x
    x = 30,344,882.60/6,314.82
  6. Step 6: Final answer
    x = 4,805.34

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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.