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Finding the Fourth Proportional to 6,983.49, 9,634.01 and 6,187.63

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Solution

The fourth proportional to 6,983.49, 9,634.01 and 6,187.63 is: 8,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.49 : 9,634.01 = 6,187.63 : x
  2. Step 2: Convert to fraction form
    6,983.49/9,634.01 = 6,187.63/x
  3. Step 3: Cross multiply
    6,983.49x = 9,634.01 × 6,187.63
  4. Step 4: Simplify right side
    6,983.49x = 59,611,689.30
  5. Step 5: Solve for x
    x = 59,611,689.30/6,983.49
  6. Step 6: Final answer
    x = 8,536.09

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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.