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Finding the Fourth Proportional to 9,955.40, 13,717.37 and 8,234.56

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Solution

The fourth proportional to 9,955.40, 13,717.37 and 8,234.56 is: 11,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.40 : 13,717.37 = 8,234.56 : x
  2. Step 2: Convert to fraction form
    9,955.40/13,717.37 = 8,234.56/x
  3. Step 3: Cross multiply
    9,955.40x = 13,717.37 × 8,234.56
  4. Step 4: Simplify right side
    9,955.40x = 112,956,396.55
  5. Step 5: Solve for x
    x = 112,956,396.55/9,955.40
  6. Step 6: Final answer
    x = 11,346.24

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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.