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Finding the Fourth Proportional to 6,208.13, 9,310.20 and 2,047.20

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Solution

The fourth proportional to 6,208.13, 9,310.20 and 2,047.20 is: 3,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.13 : 9,310.20 = 2,047.20 : x
  2. Step 2: Convert to fraction form
    6,208.13/9,310.20 = 2,047.20/x
  3. Step 3: Cross multiply
    6,208.13x = 9,310.20 × 2,047.20
  4. Step 4: Simplify right side
    6,208.13x = 19,059,841.44
  5. Step 5: Solve for x
    x = 19,059,841.44/6,208.13
  6. Step 6: Final answer
    x = 3,070.14

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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.