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Finding the Fourth Proportional to 9,837.10, 14,792.10 and 8,233.30

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Solution

The fourth proportional to 9,837.10, 14,792.10 and 8,233.30 is: 12,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.10 : 14,792.10 = 8,233.30 : x
  2. Step 2: Convert to fraction form
    9,837.10/14,792.10 = 8,233.30/x
  3. Step 3: Cross multiply
    9,837.10x = 14,792.10 × 8,233.30
  4. Step 4: Simplify right side
    9,837.10x = 121,787,796.93
  5. Step 5: Solve for x
    x = 121,787,796.93/9,837.10
  6. Step 6: Final answer
    x = 12,380.46

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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.