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Finding the Fourth Proportional to 9,279, 13,919.79 and 2,705.66

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Solution

The fourth proportional to 9,279, 13,919.79 and 2,705.66 is: 4,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279 : 13,919.79 = 2,705.66 : x
  2. Step 2: Convert to fraction form
    9,279/13,919.79 = 2,705.66/x
  3. Step 3: Cross multiply
    9,279x = 13,919.79 × 2,705.66
  4. Step 4: Simplify right side
    9,279x = 37,662,219.01
  5. Step 5: Solve for x
    x = 37,662,219.01/9,279
  6. Step 6: Final answer
    x = 4,058.87

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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.