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Finding the Fourth Proportional to 6,892.49, 9,513.22 and 4,204.63

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Solution

The fourth proportional to 6,892.49, 9,513.22 and 4,204.63 is: 5,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.49 : 9,513.22 = 4,204.63 : x
  2. Step 2: Convert to fraction form
    6,892.49/9,513.22 = 4,204.63/x
  3. Step 3: Cross multiply
    6,892.49x = 9,513.22 × 4,204.63
  4. Step 4: Simplify right side
    6,892.49x = 39,999,618.05
  5. Step 5: Solve for x
    x = 39,999,618.05/6,892.49
  6. Step 6: Final answer
    x = 5,803.36

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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.