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Finding the Fourth Proportional to 9,158.65, 13,728.38 and 4,231.52

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Solution

The fourth proportional to 9,158.65, 13,728.38 and 4,231.52 is: 6,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.65 : 13,728.38 = 4,231.52 : x
  2. Step 2: Convert to fraction form
    9,158.65/13,728.38 = 4,231.52/x
  3. Step 3: Cross multiply
    9,158.65x = 13,728.38 × 4,231.52
  4. Step 4: Simplify right side
    9,158.65x = 58,091,914.54
  5. Step 5: Solve for x
    x = 58,091,914.54/9,158.65
  6. Step 6: Final answer
    x = 6,342.85

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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.