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Finding the Fourth Proportional to 9,106.68, 13,666.50 and 3,914.04

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Solution

The fourth proportional to 9,106.68, 13,666.50 and 3,914.04 is: 5,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.68 : 13,666.50 = 3,914.04 : x
  2. Step 2: Convert to fraction form
    9,106.68/13,666.50 = 3,914.04/x
  3. Step 3: Cross multiply
    9,106.68x = 13,666.50 × 3,914.04
  4. Step 4: Simplify right side
    9,106.68x = 53,491,227.66
  5. Step 5: Solve for x
    x = 53,491,227.66/9,106.68
  6. Step 6: Final answer
    x = 5,873.85

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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.