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Finding the Fourth Proportional to 6,483.75, 9,717.42 and 4,142.85

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Solution

The fourth proportional to 6,483.75, 9,717.42 and 4,142.85 is: 6,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.75 : 9,717.42 = 4,142.85 : x
  2. Step 2: Convert to fraction form
    6,483.75/9,717.42 = 4,142.85/x
  3. Step 3: Cross multiply
    6,483.75x = 9,717.42 × 4,142.85
  4. Step 4: Simplify right side
    6,483.75x = 40,257,813.45
  5. Step 5: Solve for x
    x = 40,257,813.45/6,483.75
  6. Step 6: Final answer
    x = 6,209.03

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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.