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Finding the Fourth Proportional to 9,149.17, 13,722.94 and 2,485.42

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Solution

The fourth proportional to 9,149.17, 13,722.94 and 2,485.42 is: 3,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.17 : 13,722.94 = 2,485.42 : x
  2. Step 2: Convert to fraction form
    9,149.17/13,722.94 = 2,485.42/x
  3. Step 3: Cross multiply
    9,149.17x = 13,722.94 × 2,485.42
  4. Step 4: Simplify right side
    9,149.17x = 34,107,269.53
  5. Step 5: Solve for x
    x = 34,107,269.53/9,149.17
  6. Step 6: Final answer
    x = 3,727.91

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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.