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Finding the Fourth Proportional to 8,993, 12,411.42 and 5,267

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Solution

The fourth proportional to 8,993, 12,411.42 and 5,267 is: 7,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993 : 12,411.42 = 5,267 : x
  2. Step 2: Convert to fraction form
    8,993/12,411.42 = 5,267/x
  3. Step 3: Cross multiply
    8,993x = 12,411.42 × 5,267
  4. Step 4: Simplify right side
    8,993x = 65,370,949.14
  5. Step 5: Solve for x
    x = 65,370,949.14/8,993
  6. Step 6: Final answer
    x = 7,269.09

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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.