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Finding the Fourth Proportional to 9,278.92, 13,920.52 and 2,705.20

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Solution

The fourth proportional to 9,278.92, 13,920.52 and 2,705.20 is: 4,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.92 : 13,920.52 = 2,705.20 : x
  2. Step 2: Convert to fraction form
    9,278.92/13,920.52 = 2,705.20/x
  3. Step 3: Cross multiply
    9,278.92x = 13,920.52 × 2,705.20
  4. Step 4: Simplify right side
    9,278.92x = 37,657,790.70
  5. Step 5: Solve for x
    x = 37,657,790.70/9,278.92
  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.