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Finding the Fourth Proportional to 9,236.80, 13,855.28 and 2,663

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Solution

The fourth proportional to 9,236.80, 13,855.28 and 2,663 is: 3,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.80 : 13,855.28 = 2,663 : x
  2. Step 2: Convert to fraction form
    9,236.80/13,855.28 = 2,663/x
  3. Step 3: Cross multiply
    9,236.80x = 13,855.28 × 2,663
  4. Step 4: Simplify right side
    9,236.80x = 36,896,610.64
  5. Step 5: Solve for x
    x = 36,896,610.64/9,236.80
  6. Step 6: Final answer
    x = 3,994.52

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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.