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Finding the Fourth Proportional to 6,261.22, 9,406.42 and 3,665.98

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Solution

The fourth proportional to 6,261.22, 9,406.42 and 3,665.98 is: 5,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.22 : 9,406.42 = 3,665.98 : x
  2. Step 2: Convert to fraction form
    6,261.22/9,406.42 = 3,665.98/x
  3. Step 3: Cross multiply
    6,261.22x = 9,406.42 × 3,665.98
  4. Step 4: Simplify right side
    6,261.22x = 34,483,747.59
  5. Step 5: Solve for x
    x = 34,483,747.59/6,261.22
  6. Step 6: Final answer
    x = 5,507.51

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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.