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Finding the Fourth Proportional to 6,487.68, 9,725.04 and 3,195.84

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Solution

The fourth proportional to 6,487.68, 9,725.04 and 3,195.84 is: 4,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.68 : 9,725.04 = 3,195.84 : x
  2. Step 2: Convert to fraction form
    6,487.68/9,725.04 = 3,195.84/x
  3. Step 3: Cross multiply
    6,487.68x = 9,725.04 × 3,195.84
  4. Step 4: Simplify right side
    6,487.68x = 31,079,671.83
  5. Step 5: Solve for x
    x = 31,079,671.83/6,487.68
  6. Step 6: Final answer
    x = 4,790.57

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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.