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Finding the Fourth Proportional to 9,771.17, 14,660.87 and 3,108.24

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Solution

The fourth proportional to 9,771.17, 14,660.87 and 3,108.24 is: 4,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.17 : 14,660.87 = 3,108.24 : x
  2. Step 2: Convert to fraction form
    9,771.17/14,660.87 = 3,108.24/x
  3. Step 3: Cross multiply
    9,771.17x = 14,660.87 × 3,108.24
  4. Step 4: Simplify right side
    9,771.17x = 45,569,487.03
  5. Step 5: Solve for x
    x = 45,569,487.03/9,771.17
  6. Step 6: Final answer
    x = 4,663.67

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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.