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Finding the Fourth Proportional to 6,365.96, 9,548.91 and 3,462.72

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Solution

The fourth proportional to 6,365.96, 9,548.91 and 3,462.72 is: 5,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.96 : 9,548.91 = 3,462.72 : x
  2. Step 2: Convert to fraction form
    6,365.96/9,548.91 = 3,462.72/x
  3. Step 3: Cross multiply
    6,365.96x = 9,548.91 × 3,462.72
  4. Step 4: Simplify right side
    6,365.96x = 33,065,201.64
  5. Step 5: Solve for x
    x = 33,065,201.64/6,365.96
  6. Step 6: Final answer
    x = 5,194.06

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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.