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Finding the Fourth Proportional to 8,869, 12,235.44 and 5,843.20

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Solution

The fourth proportional to 8,869, 12,235.44 and 5,843.20 is: 8,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,869 : 12,235.44 = 5,843.20 : x
  2. Step 2: Convert to fraction form
    8,869/12,235.44 = 5,843.20/x
  3. Step 3: Cross multiply
    8,869x = 12,235.44 × 5,843.20
  4. Step 4: Simplify right side
    8,869x = 71,494,123.01
  5. Step 5: Solve for x
    x = 71,494,123.01/8,869
  6. Step 6: Final answer
    x = 8,061.13

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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.