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Finding the Fourth Proportional to 6,094.38, 9,141.57 and 1,711.83

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Solution

The fourth proportional to 6,094.38, 9,141.57 and 1,711.83 is: 2,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.38 : 9,141.57 = 1,711.83 : x
  2. Step 2: Convert to fraction form
    6,094.38/9,141.57 = 1,711.83/x
  3. Step 3: Cross multiply
    6,094.38x = 9,141.57 × 1,711.83
  4. Step 4: Simplify right side
    6,094.38x = 15,648,813.77
  5. Step 5: Solve for x
    x = 15,648,813.77/6,094.38
  6. Step 6: Final answer
    x = 2,567.75

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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.