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Finding the Fourth Proportional to 6,892.82, 9,508.16 and 4,238.35

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Solution

The fourth proportional to 6,892.82, 9,508.16 and 4,238.35 is: 5,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.82 : 9,508.16 = 4,238.35 : x
  2. Step 2: Convert to fraction form
    6,892.82/9,508.16 = 4,238.35/x
  3. Step 3: Cross multiply
    6,892.82x = 9,508.16 × 4,238.35
  4. Step 4: Simplify right side
    6,892.82x = 40,298,932.42
  5. Step 5: Solve for x
    x = 40,298,932.42/6,892.82
  6. Step 6: Final answer
    x = 5,846.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.