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Finding the Fourth Proportional to 9,129.32, 13,694.66 and 2,555.42

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Solution

The fourth proportional to 9,129.32, 13,694.66 and 2,555.42 is: 3,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.32 : 13,694.66 = 2,555.42 : x
  2. Step 2: Convert to fraction form
    9,129.32/13,694.66 = 2,555.42/x
  3. Step 3: Cross multiply
    9,129.32x = 13,694.66 × 2,555.42
  4. Step 4: Simplify right side
    9,129.32x = 34,995,608.06
  5. Step 5: Solve for x
    x = 34,995,608.06/9,129.32
  6. Step 6: Final answer
    x = 3,833.32

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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.