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Finding the Fourth Proportional to 6,141.66, 9,213.16 and 1,759.83

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Solution

The fourth proportional to 6,141.66, 9,213.16 and 1,759.83 is: 2,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.66 : 9,213.16 = 1,759.83 : x
  2. Step 2: Convert to fraction form
    6,141.66/9,213.16 = 1,759.83/x
  3. Step 3: Cross multiply
    6,141.66x = 9,213.16 × 1,759.83
  4. Step 4: Simplify right side
    6,141.66x = 16,213,595.36
  5. Step 5: Solve for x
    x = 16,213,595.36/6,141.66
  6. Step 6: Final answer
    x = 2,639.94

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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.