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Finding the Fourth Proportional to 9,074.54, 13,605.89 and 3,812.91

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Solution

The fourth proportional to 9,074.54, 13,605.89 and 3,812.91 is: 5,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.54 : 13,605.89 = 3,812.91 : x
  2. Step 2: Convert to fraction form
    9,074.54/13,605.89 = 3,812.91/x
  3. Step 3: Cross multiply
    9,074.54x = 13,605.89 × 3,812.91
  4. Step 4: Simplify right side
    9,074.54x = 51,878,014.98
  5. Step 5: Solve for x
    x = 51,878,014.98/9,074.54
  6. Step 6: Final answer
    x = 5,716.88

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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.