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Finding the Fourth Proportional to 9,279.40, 13,920 and 2,705.44

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Solution

The fourth proportional to 9,279.40, 13,920 and 2,705.44 is: 4,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.40 : 13,920 = 2,705.44 : x
  2. Step 2: Convert to fraction form
    9,279.40/13,920 = 2,705.44/x
  3. Step 3: Cross multiply
    9,279.40x = 13,920 × 2,705.44
  4. Step 4: Simplify right side
    9,279.40x = 37,659,724.80
  5. Step 5: Solve for x
    x = 37,659,724.80/9,279.40
  6. Step 6: Final answer
    x = 4,058.42

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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.