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Finding the Fourth Proportional to 6,456.13, 9,682.43 and 1,775.03

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Solution

The fourth proportional to 6,456.13, 9,682.43 and 1,775.03 is: 2,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.13 : 9,682.43 = 1,775.03 : x
  2. Step 2: Convert to fraction form
    6,456.13/9,682.43 = 1,775.03/x
  3. Step 3: Cross multiply
    6,456.13x = 9,682.43 × 1,775.03
  4. Step 4: Simplify right side
    6,456.13x = 17,186,546.44
  5. Step 5: Solve for x
    x = 17,186,546.44/6,456.13
  6. Step 6: Final answer
    x = 2,662.05

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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.