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Finding the Fourth Proportional to 10,861.72, 14,981.44 and 9,968.34

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Solution

The fourth proportional to 10,861.72, 14,981.44 and 9,968.34 is: 13,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.72 : 14,981.44 = 9,968.34 : x
  2. Step 2: Convert to fraction form
    10,861.72/14,981.44 = 9,968.34/x
  3. Step 3: Cross multiply
    10,861.72x = 14,981.44 × 9,968.34
  4. Step 4: Simplify right side
    10,861.72x = 149,340,087.61
  5. Step 5: Solve for x
    x = 149,340,087.61/10,861.72
  6. Step 6: Final answer
    x = 13,749.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.