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Finding the Fourth Proportional to 6,135.92, 9,204.60 and 2,675.60

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Solution

The fourth proportional to 6,135.92, 9,204.60 and 2,675.60 is: 4,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.92 : 9,204.60 = 2,675.60 : x
  2. Step 2: Convert to fraction form
    6,135.92/9,204.60 = 2,675.60/x
  3. Step 3: Cross multiply
    6,135.92x = 9,204.60 × 2,675.60
  4. Step 4: Simplify right side
    6,135.92x = 24,627,827.76
  5. Step 5: Solve for x
    x = 24,627,827.76/6,135.92
  6. Step 6: Final answer
    x = 4,013.71

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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.