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Finding the Fourth Proportional to 6,504.98, 9,758.68 and 2,609.69

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Solution

The fourth proportional to 6,504.98, 9,758.68 and 2,609.69 is: 3,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.98 : 9,758.68 = 2,609.69 : x
  2. Step 2: Convert to fraction form
    6,504.98/9,758.68 = 2,609.69/x
  3. Step 3: Cross multiply
    6,504.98x = 9,758.68 × 2,609.69
  4. Step 4: Simplify right side
    6,504.98x = 25,467,074.29
  5. Step 5: Solve for x
    x = 25,467,074.29/6,504.98
  6. Step 6: Final answer
    x = 3,915.01

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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.