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Finding the Fourth Proportional to 9,236.18, 13,832.15 and 6,730.65

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Solution

The fourth proportional to 9,236.18, 13,832.15 and 6,730.65 is: 10,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.18 : 13,832.15 = 6,730.65 : x
  2. Step 2: Convert to fraction form
    9,236.18/13,832.15 = 6,730.65/x
  3. Step 3: Cross multiply
    9,236.18x = 13,832.15 × 6,730.65
  4. Step 4: Simplify right side
    9,236.18x = 93,099,360.40
  5. Step 5: Solve for x
    x = 93,099,360.40/9,236.18
  6. Step 6: Final answer
    x = 10,079.86

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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.