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Finding the Fourth Proportional to 9,836.10, 14,790.60 and 8,232.30

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Solution

The fourth proportional to 9,836.10, 14,790.60 and 8,232.30 is: 12,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.10 : 14,790.60 = 8,232.30 : x
  2. Step 2: Convert to fraction form
    9,836.10/14,790.60 = 8,232.30/x
  3. Step 3: Cross multiply
    9,836.10x = 14,790.60 × 8,232.30
  4. Step 4: Simplify right side
    9,836.10x = 121,760,656.38
  5. Step 5: Solve for x
    x = 121,760,656.38/9,836.10
  6. Step 6: Final answer
    x = 12,378.96

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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.