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Finding the Fourth Proportional to 6,208.42, 9,310.64 and 2,047.65

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Solution

The fourth proportional to 6,208.42, 9,310.64 and 2,047.65 is: 3,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.42 : 9,310.64 = 2,047.65 : x
  2. Step 2: Convert to fraction form
    6,208.42/9,310.64 = 2,047.65/x
  3. Step 3: Cross multiply
    6,208.42x = 9,310.64 × 2,047.65
  4. Step 4: Simplify right side
    6,208.42x = 19,064,885.44
  5. Step 5: Solve for x
    x = 19,064,885.44/6,208.42
  6. Step 6: Final answer
    x = 3,070.81

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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.