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Finding the Fourth Proportional to 6,314.76, 8,714.82 and 3,520.20

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Solution

The fourth proportional to 6,314.76, 8,714.82 and 3,520.20 is: 4,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.76 : 8,714.82 = 3,520.20 : x
  2. Step 2: Convert to fraction form
    6,314.76/8,714.82 = 3,520.20/x
  3. Step 3: Cross multiply
    6,314.76x = 8,714.82 × 3,520.20
  4. Step 4: Simplify right side
    6,314.76x = 30,677,909.36
  5. Step 5: Solve for x
    x = 30,677,909.36/6,314.76
  6. Step 6: Final answer
    x = 4,858.13

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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.