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Finding the Fourth Proportional to 9,416.17, 14,141.79 and 8,290.82

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Solution

The fourth proportional to 9,416.17, 14,141.79 and 8,290.82 is: 12,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.17 : 14,141.79 = 8,290.82 : x
  2. Step 2: Convert to fraction form
    9,416.17/14,141.79 = 8,290.82/x
  3. Step 3: Cross multiply
    9,416.17x = 14,141.79 × 8,290.82
  4. Step 4: Simplify right side
    9,416.17x = 117,247,035.37
  5. Step 5: Solve for x
    x = 117,247,035.37/9,416.17
  6. Step 6: Final answer
    x = 12,451.67

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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.