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Finding the Fourth Proportional to 9,311.98, 12,849.14 and 5,535.22

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Solution

The fourth proportional to 9,311.98, 12,849.14 and 5,535.22 is: 7,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.98 : 12,849.14 = 5,535.22 : x
  2. Step 2: Convert to fraction form
    9,311.98/12,849.14 = 5,535.22/x
  3. Step 3: Cross multiply
    9,311.98x = 12,849.14 × 5,535.22
  4. Step 4: Simplify right side
    9,311.98x = 71,122,816.71
  5. Step 5: Solve for x
    x = 71,122,816.71/9,311.98
  6. Step 6: Final answer
    x = 7,637.78

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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.