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Finding the Fourth Proportional to 6,546.98, 9,817.56 and 2,385.62

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Solution

The fourth proportional to 6,546.98, 9,817.56 and 2,385.62 is: 3,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.98 : 9,817.56 = 2,385.62 : x
  2. Step 2: Convert to fraction form
    6,546.98/9,817.56 = 2,385.62/x
  3. Step 3: Cross multiply
    6,546.98x = 9,817.56 × 2,385.62
  4. Step 4: Simplify right side
    6,546.98x = 23,420,967.49
  5. Step 5: Solve for x
    x = 23,420,967.49/6,546.98
  6. Step 6: Final answer
    x = 3,577.37

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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.