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Finding the Fourth Proportional to 6,234.65, 9,370.20 and 6,125.30

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Solution

The fourth proportional to 6,234.65, 9,370.20 and 6,125.30 is: 9,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.65 : 9,370.20 = 6,125.30 : x
  2. Step 2: Convert to fraction form
    6,234.65/9,370.20 = 6,125.30/x
  3. Step 3: Cross multiply
    6,234.65x = 9,370.20 × 6,125.30
  4. Step 4: Simplify right side
    6,234.65x = 57,395,286.06
  5. Step 5: Solve for x
    x = 57,395,286.06/6,234.65
  6. Step 6: Final answer
    x = 9,205.86

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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.