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Finding the Fourth Proportional to 6,344.16, 9,518.97 and 2,647.12

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Solution

The fourth proportional to 6,344.16, 9,518.97 and 2,647.12 is: 3,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.16 : 9,518.97 = 2,647.12 : x
  2. Step 2: Convert to fraction form
    6,344.16/9,518.97 = 2,647.12/x
  3. Step 3: Cross multiply
    6,344.16x = 9,518.97 × 2,647.12
  4. Step 4: Simplify right side
    6,344.16x = 25,197,808.27
  5. Step 5: Solve for x
    x = 25,197,808.27/6,344.16
  6. Step 6: Final answer
    x = 3,971.81

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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.