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Finding the Fourth Proportional to 6,487.70, 9,725.57 and 2,102.90

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Solution

The fourth proportional to 6,487.70, 9,725.57 and 2,102.90 is: 3,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.70 : 9,725.57 = 2,102.90 : x
  2. Step 2: Convert to fraction form
    6,487.70/9,725.57 = 2,102.90/x
  3. Step 3: Cross multiply
    6,487.70x = 9,725.57 × 2,102.90
  4. Step 4: Simplify right side
    6,487.70x = 20,451,890.64
  5. Step 5: Solve for x
    x = 20,451,890.64/6,487.70
  6. Step 6: Final answer
    x = 3,152.41

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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.