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Finding the Fourth Proportional to 6,736.94, 9,293.72 and 4,346.28

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Solution

The fourth proportional to 6,736.94, 9,293.72 and 4,346.28 is: 5,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.94 : 9,293.72 = 4,346.28 : x
  2. Step 2: Convert to fraction form
    6,736.94/9,293.72 = 4,346.28/x
  3. Step 3: Cross multiply
    6,736.94x = 9,293.72 × 4,346.28
  4. Step 4: Simplify right side
    6,736.94x = 40,393,109.36
  5. Step 5: Solve for x
    x = 40,393,109.36/6,736.94
  6. Step 6: Final answer
    x = 5,995.77

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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.