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Finding the Fourth Proportional to 6,233.96, 8,602.74 and 3,401.24

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Solution

The fourth proportional to 6,233.96, 8,602.74 and 3,401.24 is: 4,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.96 : 8,602.74 = 3,401.24 : x
  2. Step 2: Convert to fraction form
    6,233.96/8,602.74 = 3,401.24/x
  3. Step 3: Cross multiply
    6,233.96x = 8,602.74 × 3,401.24
  4. Step 4: Simplify right side
    6,233.96x = 29,259,983.40
  5. Step 5: Solve for x
    x = 29,259,983.40/6,233.96
  6. Step 6: Final answer
    x = 4,693.64

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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.