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Finding the Fourth Proportional to 9,119.56, 12,584.70 and 5,140.44

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Solution

The fourth proportional to 9,119.56, 12,584.70 and 5,140.44 is: 7,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.56 : 12,584.70 = 5,140.44 : x
  2. Step 2: Convert to fraction form
    9,119.56/12,584.70 = 5,140.44/x
  3. Step 3: Cross multiply
    9,119.56x = 12,584.70 × 5,140.44
  4. Step 4: Simplify right side
    9,119.56x = 64,690,895.27
  5. Step 5: Solve for x
    x = 64,690,895.27/9,119.56
  6. Step 6: Final answer
    x = 7,093.64

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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.