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Finding the Fourth Proportional to 6,234.81, 9,352.03 and 1,617.81

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Solution

The fourth proportional to 6,234.81, 9,352.03 and 1,617.81 is: 2,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.81 : 9,352.03 = 1,617.81 : x
  2. Step 2: Convert to fraction form
    6,234.81/9,352.03 = 1,617.81/x
  3. Step 3: Cross multiply
    6,234.81x = 9,352.03 × 1,617.81
  4. Step 4: Simplify right side
    6,234.81x = 15,129,807.65
  5. Step 5: Solve for x
    x = 15,129,807.65/6,234.81
  6. Step 6: Final answer
    x = 2,426.67

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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.