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Finding the Fourth Proportional to 6,735.96, 9,295.29 and 3,752.10

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Solution

The fourth proportional to 6,735.96, 9,295.29 and 3,752.10 is: 5,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.96 : 9,295.29 = 3,752.10 : x
  2. Step 2: Convert to fraction form
    6,735.96/9,295.29 = 3,752.10/x
  3. Step 3: Cross multiply
    6,735.96x = 9,295.29 × 3,752.10
  4. Step 4: Simplify right side
    6,735.96x = 34,876,857.61
  5. Step 5: Solve for x
    x = 34,876,857.61/6,735.96
  6. Step 6: Final answer
    x = 5,177.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.