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Finding the Fourth Proportional to 9,147, 12,621.85 and 5,167.27

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Solution

The fourth proportional to 9,147, 12,621.85 and 5,167.27 is: 7,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147 : 12,621.85 = 5,167.27 : x
  2. Step 2: Convert to fraction form
    9,147/12,621.85 = 5,167.27/x
  3. Step 3: Cross multiply
    9,147x = 12,621.85 × 5,167.27
  4. Step 4: Simplify right side
    9,147x = 65,220,506.85
  5. Step 5: Solve for x
    x = 65,220,506.85/9,147
  6. Step 6: Final answer
    x = 7,130.26

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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.