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Finding the Fourth Proportional to 9,927.11, 14,861.88 and 7,729.17

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Solution

The fourth proportional to 9,927.11, 14,861.88 and 7,729.17 is: 11,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.11 : 14,861.88 = 7,729.17 : x
  2. Step 2: Convert to fraction form
    9,927.11/14,861.88 = 7,729.17/x
  3. Step 3: Cross multiply
    9,927.11x = 14,861.88 × 7,729.17
  4. Step 4: Simplify right side
    9,927.11x = 114,869,997.04
  5. Step 5: Solve for x
    x = 114,869,997.04/9,927.11
  6. Step 6: Final answer
    x = 11,571.35

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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.