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Finding the Fourth Proportional to 6,461.46, 9,692.15 and 1,844.46

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Solution

The fourth proportional to 6,461.46, 9,692.15 and 1,844.46 is: 2,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.46 : 9,692.15 = 1,844.46 : x
  2. Step 2: Convert to fraction form
    6,461.46/9,692.15 = 1,844.46/x
  3. Step 3: Cross multiply
    6,461.46x = 9,692.15 × 1,844.46
  4. Step 4: Simplify right side
    6,461.46x = 17,876,773.77
  5. Step 5: Solve for x
    x = 17,876,773.77/6,461.46
  6. Step 6: Final answer
    x = 2,766.68

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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.