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Finding the Fourth Proportional to 9,409.83, 14,110.64 and 3,168.17

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Solution

The fourth proportional to 9,409.83, 14,110.64 and 3,168.17 is: 4,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.83 : 14,110.64 = 3,168.17 : x
  2. Step 2: Convert to fraction form
    9,409.83/14,110.64 = 3,168.17/x
  3. Step 3: Cross multiply
    9,409.83x = 14,110.64 × 3,168.17
  4. Step 4: Simplify right side
    9,409.83x = 44,704,819.93
  5. Step 5: Solve for x
    x = 44,704,819.93/9,409.83
  6. Step 6: Final answer
    x = 4,750.86

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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.