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Finding the Fourth Proportional to 9,244.46, 12,755.34 and 5,467.83

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Solution

The fourth proportional to 9,244.46, 12,755.34 and 5,467.83 is: 7,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.46 : 12,755.34 = 5,467.83 : x
  2. Step 2: Convert to fraction form
    9,244.46/12,755.34 = 5,467.83/x
  3. Step 3: Cross multiply
    9,244.46x = 12,755.34 × 5,467.83
  4. Step 4: Simplify right side
    9,244.46x = 69,744,030.71
  5. Step 5: Solve for x
    x = 69,744,030.71/9,244.46
  6. Step 6: Final answer
    x = 7,544.42

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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.