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Finding the Fourth Proportional to 6,339.42, 9,506.97 and 2,639.61

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Solution

The fourth proportional to 6,339.42, 9,506.97 and 2,639.61 is: 3,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.42 : 9,506.97 = 2,639.61 : x
  2. Step 2: Convert to fraction form
    6,339.42/9,506.97 = 2,639.61/x
  3. Step 3: Cross multiply
    6,339.42x = 9,506.97 × 2,639.61
  4. Step 4: Simplify right side
    6,339.42x = 25,094,693.08
  5. Step 5: Solve for x
    x = 25,094,693.08/6,339.42
  6. Step 6: Final answer
    x = 3,958.52

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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.