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Finding the Fourth Proportional to 6,461.87, 9,692.60 and 2,715.64

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Solution

The fourth proportional to 6,461.87, 9,692.60 and 2,715.64 is: 4,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.87 : 9,692.60 = 2,715.64 : x
  2. Step 2: Convert to fraction form
    6,461.87/9,692.60 = 2,715.64/x
  3. Step 3: Cross multiply
    6,461.87x = 9,692.60 × 2,715.64
  4. Step 4: Simplify right side
    6,461.87x = 26,321,563.80
  5. Step 5: Solve for x
    x = 26,321,563.80/6,461.87
  6. Step 6: Final answer
    x = 4,073.37

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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.