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Finding the Fourth Proportional to 6,315.91, 9,473.88 and 6,163.67

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Solution

The fourth proportional to 6,315.91, 9,473.88 and 6,163.67 is: 9,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.91 : 9,473.88 = 6,163.67 : x
  2. Step 2: Convert to fraction form
    6,315.91/9,473.88 = 6,163.67/x
  3. Step 3: Cross multiply
    6,315.91x = 9,473.88 × 6,163.67
  4. Step 4: Simplify right side
    6,315.91x = 58,393,916.74
  5. Step 5: Solve for x
    x = 58,393,916.74/6,315.91
  6. Step 6: Final answer
    x = 9,245.53

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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.