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Finding the Fourth Proportional to 9,278.92, 13,920.80 and 2,704.96

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Solution

The fourth proportional to 9,278.92, 13,920.80 and 2,704.96 is: 4,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.92 : 13,920.80 = 2,704.96 : x
  2. Step 2: Convert to fraction form
    9,278.92/13,920.80 = 2,704.96/x
  3. Step 3: Cross multiply
    9,278.92x = 13,920.80 × 2,704.96
  4. Step 4: Simplify right side
    9,278.92x = 37,655,207.17
  5. Step 5: Solve for x
    x = 37,655,207.17/9,278.92
  6. Step 6: Final answer
    x = 4,058.15

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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.