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Finding the Fourth Proportional to 6,339.74, 9,507.31 and 3,376.35

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Solution

The fourth proportional to 6,339.74, 9,507.31 and 3,376.35 is: 5,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.74 : 9,507.31 = 3,376.35 : x
  2. Step 2: Convert to fraction form
    6,339.74/9,507.31 = 3,376.35/x
  3. Step 3: Cross multiply
    6,339.74x = 9,507.31 × 3,376.35
  4. Step 4: Simplify right side
    6,339.74x = 32,099,997.68
  5. Step 5: Solve for x
    x = 32,099,997.68/6,339.74
  6. Step 6: Final answer
    x = 5,063.30

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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.