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Finding the Fourth Proportional to 6,314.56, 8,714.15 and 3,482.04

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Solution

The fourth proportional to 6,314.56, 8,714.15 and 3,482.04 is: 4,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.56 : 8,714.15 = 3,482.04 : x
  2. Step 2: Convert to fraction form
    6,314.56/8,714.15 = 3,482.04/x
  3. Step 3: Cross multiply
    6,314.56x = 8,714.15 × 3,482.04
  4. Step 4: Simplify right side
    6,314.56x = 30,342,957.89
  5. Step 5: Solve for x
    x = 30,342,957.89/6,314.56
  6. Step 6: Final answer
    x = 4,805.24

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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.