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Finding the Fourth Proportional to 6,417.39, 9,626.07 and 3,489.54

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Solution

The fourth proportional to 6,417.39, 9,626.07 and 3,489.54 is: 5,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.39 : 9,626.07 = 3,489.54 : x
  2. Step 2: Convert to fraction form
    6,417.39/9,626.07 = 3,489.54/x
  3. Step 3: Cross multiply
    6,417.39x = 9,626.07 × 3,489.54
  4. Step 4: Simplify right side
    6,417.39x = 33,590,556.31
  5. Step 5: Solve for x
    x = 33,590,556.31/6,417.39
  6. Step 6: Final answer
    x = 5,234.30

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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.