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Finding the Fourth Proportional to 6,525.50, 9,788.26 and 3,609.50

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Solution

The fourth proportional to 6,525.50, 9,788.26 and 3,609.50 is: 5,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.50 : 9,788.26 = 3,609.50 : x
  2. Step 2: Convert to fraction form
    6,525.50/9,788.26 = 3,609.50/x
  3. Step 3: Cross multiply
    6,525.50x = 9,788.26 × 3,609.50
  4. Step 4: Simplify right side
    6,525.50x = 35,330,724.47
  5. Step 5: Solve for x
    x = 35,330,724.47/6,525.50
  6. Step 6: Final answer
    x = 5,414.26

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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.