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Finding the Fourth Proportional to 6,720.32, 9,273.64 and 3,736.05

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Solution

The fourth proportional to 6,720.32, 9,273.64 and 3,736.05 is: 5,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.32 : 9,273.64 = 3,736.05 : x
  2. Step 2: Convert to fraction form
    6,720.32/9,273.64 = 3,736.05/x
  3. Step 3: Cross multiply
    6,720.32x = 9,273.64 × 3,736.05
  4. Step 4: Simplify right side
    6,720.32x = 34,646,773.38
  5. Step 5: Solve for x
    x = 34,646,773.38/6,720.32
  6. Step 6: Final answer
    x = 5,155.52

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Why These Related Problems?

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