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Finding the Fourth Proportional to 8,269.29, 12,395.43 and 6,174.63

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Solution

The fourth proportional to 8,269.29, 12,395.43 and 6,174.63 is: 9,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.29 : 12,395.43 = 6,174.63 : x
  2. Step 2: Convert to fraction form
    8,269.29/12,395.43 = 6,174.63/x
  3. Step 3: Cross multiply
    8,269.29x = 12,395.43 × 6,174.63
  4. Step 4: Simplify right side
    8,269.29x = 76,537,193.94
  5. Step 5: Solve for x
    x = 76,537,193.94/8,269.29
  6. Step 6: Final answer
    x = 9,255.59

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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.