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Finding the Fourth Proportional to 6,152.38, 9,231.27 and 3,230.00

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Solution

The fourth proportional to 6,152.38, 9,231.27 and 3,230.00 is: 4,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.38 : 9,231.27 = 3,230.00 : x
  2. Step 2: Convert to fraction form
    6,152.38/9,231.27 = 3,230.00/x
  3. Step 3: Cross multiply
    6,152.38x = 9,231.27 × 3,230.00
  4. Step 4: Simplify right side
    6,152.38x = 29,817,025.18
  5. Step 5: Solve for x
    x = 29,817,025.18/6,152.38
  6. Step 6: Final answer
    x = 4,846.42

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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.