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Finding the Fourth Proportional to 6,342.53, 9,499.92 and 3,217.15

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Solution

The fourth proportional to 6,342.53, 9,499.92 and 3,217.15 is: 4,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.53 : 9,499.92 = 3,217.15 : x
  2. Step 2: Convert to fraction form
    6,342.53/9,499.92 = 3,217.15/x
  3. Step 3: Cross multiply
    6,342.53x = 9,499.92 × 3,217.15
  4. Step 4: Simplify right side
    6,342.53x = 30,562,667.63
  5. Step 5: Solve for x
    x = 30,562,667.63/6,342.53
  6. Step 6: Final answer
    x = 4,818.69

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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.