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Finding the Fourth Proportional to 6,266.57, 8,647.16 and 3,614.83

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Solution

The fourth proportional to 6,266.57, 8,647.16 and 3,614.83 is: 4,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.57 : 8,647.16 = 3,614.83 : x
  2. Step 2: Convert to fraction form
    6,266.57/8,647.16 = 3,614.83/x
  3. Step 3: Cross multiply
    6,266.57x = 8,647.16 × 3,614.83
  4. Step 4: Simplify right side
    6,266.57x = 31,257,973.69
  5. Step 5: Solve for x
    x = 31,257,973.69/6,266.57
  6. Step 6: Final answer
    x = 4,988.06

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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.