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Finding the Fourth Proportional to 6,515.80, 9,771.66 and 2,355.26

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Solution

The fourth proportional to 6,515.80, 9,771.66 and 2,355.26 is: 3,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.80 : 9,771.66 = 2,355.26 : x
  2. Step 2: Convert to fraction form
    6,515.80/9,771.66 = 2,355.26/x
  3. Step 3: Cross multiply
    6,515.80x = 9,771.66 × 2,355.26
  4. Step 4: Simplify right side
    6,515.80x = 23,014,799.93
  5. Step 5: Solve for x
    x = 23,014,799.93/6,515.80
  6. Step 6: Final answer
    x = 3,532.15

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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.