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Finding the Fourth Proportional to 6,733.28, 9,287.16 and 5,474.34

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Solution

The fourth proportional to 6,733.28, 9,287.16 and 5,474.34 is: 7,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.28 : 9,287.16 = 5,474.34 : x
  2. Step 2: Convert to fraction form
    6,733.28/9,287.16 = 5,474.34/x
  3. Step 3: Cross multiply
    6,733.28x = 9,287.16 × 5,474.34
  4. Step 4: Simplify right side
    6,733.28x = 50,841,071.47
  5. Step 5: Solve for x
    x = 50,841,071.47/6,733.28
  6. Step 6: Final answer
    x = 7,550.72

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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.