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Finding the Fourth Proportional to 6,365.44, 9,548.16 and 3,726.48

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Solution

The fourth proportional to 6,365.44, 9,548.16 and 3,726.48 is: 5,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.44 : 9,548.16 = 3,726.48 : x
  2. Step 2: Convert to fraction form
    6,365.44/9,548.16 = 3,726.48/x
  3. Step 3: Cross multiply
    6,365.44x = 9,548.16 × 3,726.48
  4. Step 4: Simplify right side
    6,365.44x = 35,581,027.28
  5. Step 5: Solve for x
    x = 35,581,027.28/6,365.44
  6. Step 6: Final answer
    x = 5,589.72

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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.