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Finding the Fourth Proportional to 9,226.80, 12,731.83 and 5,193.13

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Solution

The fourth proportional to 9,226.80, 12,731.83 and 5,193.13 is: 7,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.80 : 12,731.83 = 5,193.13 : x
  2. Step 2: Convert to fraction form
    9,226.80/12,731.83 = 5,193.13/x
  3. Step 3: Cross multiply
    9,226.80x = 12,731.83 × 5,193.13
  4. Step 4: Simplify right side
    9,226.80x = 66,118,002.89
  5. Step 5: Solve for x
    x = 66,118,002.89/9,226.80
  6. Step 6: Final answer
    x = 7,165.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.