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Finding the Fourth Proportional to 6,456.60, 9,692.70 and 4,116.60

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Solution

The fourth proportional to 6,456.60, 9,692.70 and 4,116.60 is: 6,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.60 : 9,692.70 = 4,116.60 : x
  2. Step 2: Convert to fraction form
    6,456.60/9,692.70 = 4,116.60/x
  3. Step 3: Cross multiply
    6,456.60x = 9,692.70 × 4,116.60
  4. Step 4: Simplify right side
    6,456.60x = 39,900,968.82
  5. Step 5: Solve for x
    x = 39,900,968.82/6,456.60
  6. Step 6: Final answer
    x = 6,179.87

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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.