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Finding the Fourth Proportional to 6,251.90, 9,377.85 and 1,869.21

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Solution

The fourth proportional to 6,251.90, 9,377.85 and 1,869.21 is: 2,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.90 : 9,377.85 = 1,869.21 : x
  2. Step 2: Convert to fraction form
    6,251.90/9,377.85 = 1,869.21/x
  3. Step 3: Cross multiply
    6,251.90x = 9,377.85 × 1,869.21
  4. Step 4: Simplify right side
    6,251.90x = 17,529,171.00
  5. Step 5: Solve for x
    x = 17,529,171.00/6,251.90
  6. Step 6: Final answer
    x = 2,803.82

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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.