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Finding the Fourth Proportional to 6,147.66, 9,208.16 and 3,808.25

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Solution

The fourth proportional to 6,147.66, 9,208.16 and 3,808.25 is: 5,704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.66 : 9,208.16 = 3,808.25 : x
  2. Step 2: Convert to fraction form
    6,147.66/9,208.16 = 3,808.25/x
  3. Step 3: Cross multiply
    6,147.66x = 9,208.16 × 3,808.25
  4. Step 4: Simplify right side
    6,147.66x = 35,066,910.24
  5. Step 5: Solve for x
    x = 35,066,910.24/6,147.66
  6. Step 6: Final answer
    x = 5,704.11

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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.