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Finding the Fourth Proportional to 10,416.82, 14,381.92 and 9,295.83

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Solution

The fourth proportional to 10,416.82, 14,381.92 and 9,295.83 is: 12,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.82 : 14,381.92 = 9,295.83 : x
  2. Step 2: Convert to fraction form
    10,416.82/14,381.92 = 9,295.83/x
  3. Step 3: Cross multiply
    10,416.82x = 14,381.92 × 9,295.83
  4. Step 4: Simplify right side
    10,416.82x = 133,691,883.39
  5. Step 5: Solve for x
    x = 133,691,883.39/10,416.82
  6. Step 6: Final answer
    x = 12,834.23

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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.