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Finding the Fourth Proportional to 9,025.57, 13,538.39 and 4,089.44

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Solution

The fourth proportional to 9,025.57, 13,538.39 and 4,089.44 is: 6,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.57 : 13,538.39 = 4,089.44 : x
  2. Step 2: Convert to fraction form
    9,025.57/13,538.39 = 4,089.44/x
  3. Step 3: Cross multiply
    9,025.57x = 13,538.39 × 4,089.44
  4. Step 4: Simplify right side
    9,025.57x = 55,364,433.60
  5. Step 5: Solve for x
    x = 55,364,433.60/9,025.57
  6. Step 6: Final answer
    x = 6,134.18

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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.