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Finding the Fourth Proportional to 6,259.38, 9,401.22 and 4,609.41

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Solution

The fourth proportional to 6,259.38, 9,401.22 and 4,609.41 is: 6,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.38 : 9,401.22 = 4,609.41 : x
  2. Step 2: Convert to fraction form
    6,259.38/9,401.22 = 4,609.41/x
  3. Step 3: Cross multiply
    6,259.38x = 9,401.22 × 4,609.41
  4. Step 4: Simplify right side
    6,259.38x = 43,334,077.48
  5. Step 5: Solve for x
    x = 43,334,077.48/6,259.38
  6. Step 6: Final answer
    x = 6,923.06

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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.