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Finding the Fourth Proportional to 9,158.61, 13,728.34 and 4,231.48

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Solution

The fourth proportional to 9,158.61, 13,728.34 and 4,231.48 is: 6,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.61 : 13,728.34 = 4,231.48 : x
  2. Step 2: Convert to fraction form
    9,158.61/13,728.34 = 4,231.48/x
  3. Step 3: Cross multiply
    9,158.61x = 13,728.34 × 4,231.48
  4. Step 4: Simplify right side
    9,158.61x = 58,091,202.72
  5. Step 5: Solve for x
    x = 58,091,202.72/9,158.61
  6. Step 6: Final answer
    x = 6,342.80

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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.