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Finding the Fourth Proportional to 6,356.52, 9,538.43 and 5,273.96

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Solution

The fourth proportional to 6,356.52, 9,538.43 and 5,273.96 is: 7,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.52 : 9,538.43 = 5,273.96 : x
  2. Step 2: Convert to fraction form
    6,356.52/9,538.43 = 5,273.96/x
  3. Step 3: Cross multiply
    6,356.52x = 9,538.43 × 5,273.96
  4. Step 4: Simplify right side
    6,356.52x = 50,305,224.22
  5. Step 5: Solve for x
    x = 50,305,224.22/6,356.52
  6. Step 6: Final answer
    x = 7,913.96

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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.