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Finding the Fourth Proportional to 6,218.39, 9,325.65 and 2,057.47

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Solution

The fourth proportional to 6,218.39, 9,325.65 and 2,057.47 is: 3,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.39 : 9,325.65 = 2,057.47 : x
  2. Step 2: Convert to fraction form
    6,218.39/9,325.65 = 2,057.47/x
  3. Step 3: Cross multiply
    6,218.39x = 9,325.65 × 2,057.47
  4. Step 4: Simplify right side
    6,218.39x = 19,187,245.11
  5. Step 5: Solve for x
    x = 19,187,245.11/6,218.39
  6. Step 6: Final answer
    x = 3,085.56

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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.