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Finding the Fourth Proportional to 6,548.25, 9,036.63 and 3,753.75

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Solution

The fourth proportional to 6,548.25, 9,036.63 and 3,753.75 is: 5,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.25 : 9,036.63 = 3,753.75 : x
  2. Step 2: Convert to fraction form
    6,548.25/9,036.63 = 3,753.75/x
  3. Step 3: Cross multiply
    6,548.25x = 9,036.63 × 3,753.75
  4. Step 4: Simplify right side
    6,548.25x = 33,921,249.86
  5. Step 5: Solve for x
    x = 33,921,249.86/6,548.25
  6. Step 6: Final answer
    x = 5,180.20

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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.