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Finding the Fourth Proportional to 9,226.98, 13,847.12 and 3,677.10

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Solution

The fourth proportional to 9,226.98, 13,847.12 and 3,677.10 is: 5,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.98 : 13,847.12 = 3,677.10 : x
  2. Step 2: Convert to fraction form
    9,226.98/13,847.12 = 3,677.10/x
  3. Step 3: Cross multiply
    9,226.98x = 13,847.12 × 3,677.10
  4. Step 4: Simplify right side
    9,226.98x = 50,917,244.95
  5. Step 5: Solve for x
    x = 50,917,244.95/9,226.98
  6. Step 6: Final answer
    x = 5,518.30

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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.