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Finding the Fourth Proportional to 9,028.57, 12,461.75 and 5,494.27

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Solution

The fourth proportional to 9,028.57, 12,461.75 and 5,494.27 is: 7,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.57 : 12,461.75 = 5,494.27 : x
  2. Step 2: Convert to fraction form
    9,028.57/12,461.75 = 5,494.27/x
  3. Step 3: Cross multiply
    9,028.57x = 12,461.75 × 5,494.27
  4. Step 4: Simplify right side
    9,028.57x = 68,468,191.70
  5. Step 5: Solve for x
    x = 68,468,191.70/9,028.57
  6. Step 6: Final answer
    x = 7,583.50

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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.