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Finding the Fourth Proportional to 6,475.40, 9,714.90 and 3,188.60

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Solution

The fourth proportional to 6,475.40, 9,714.90 and 3,188.60 is: 4,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.40 : 9,714.90 = 3,188.60 : x
  2. Step 2: Convert to fraction form
    6,475.40/9,714.90 = 3,188.60/x
  3. Step 3: Cross multiply
    6,475.40x = 9,714.90 × 3,188.60
  4. Step 4: Simplify right side
    6,475.40x = 30,976,930.14
  5. Step 5: Solve for x
    x = 30,976,930.14/6,475.40
  6. Step 6: Final answer
    x = 4,783.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.