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Finding the Fourth Proportional to 9,812.34, 14,716.89 and 8,157.11

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Solution

The fourth proportional to 9,812.34, 14,716.89 and 8,157.11 is: 12,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.34 : 14,716.89 = 8,157.11 : x
  2. Step 2: Convert to fraction form
    9,812.34/14,716.89 = 8,157.11/x
  3. Step 3: Cross multiply
    9,812.34x = 14,716.89 × 8,157.11
  4. Step 4: Simplify right side
    9,812.34x = 120,047,217.00
  5. Step 5: Solve for x
    x = 120,047,217.00/9,812.34
  6. Step 6: Final answer
    x = 12,234.31

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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.