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Finding the Fourth Proportional to 9,055, 13,586.62 and 5,364.52

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Solution

The fourth proportional to 9,055, 13,586.62 and 5,364.52 is: 8,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055 : 13,586.62 = 5,364.52 : x
  2. Step 2: Convert to fraction form
    9,055/13,586.62 = 5,364.52/x
  3. Step 3: Cross multiply
    9,055x = 13,586.62 × 5,364.52
  4. Step 4: Simplify right side
    9,055x = 72,885,694.72
  5. Step 5: Solve for x
    x = 72,885,694.72/9,055
  6. Step 6: Final answer
    x = 8,049.22

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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.