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Finding the Fourth Proportional to 9,129.35, 13,694.48 and 2,556.20

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Solution

The fourth proportional to 9,129.35, 13,694.48 and 2,556.20 is: 3,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.35 : 13,694.48 = 2,556.20 : x
  2. Step 2: Convert to fraction form
    9,129.35/13,694.48 = 2,556.20/x
  3. Step 3: Cross multiply
    9,129.35x = 13,694.48 × 2,556.20
  4. Step 4: Simplify right side
    9,129.35x = 35,005,870.40
  5. Step 5: Solve for x
    x = 35,005,870.40/9,129.35
  6. Step 6: Final answer
    x = 3,834.43

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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.