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Finding the Fourth Proportional to 7,647.27, 11,419.11 and 6,069.57

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Solution

The fourth proportional to 7,647.27, 11,419.11 and 6,069.57 is: 9,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.27 : 11,419.11 = 6,069.57 : x
  2. Step 2: Convert to fraction form
    7,647.27/11,419.11 = 6,069.57/x
  3. Step 3: Cross multiply
    7,647.27x = 11,419.11 × 6,069.57
  4. Step 4: Simplify right side
    7,647.27x = 69,309,087.48
  5. Step 5: Solve for x
    x = 69,309,087.48/7,647.27
  6. Step 6: Final answer
    x = 9,063.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.