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Finding the Fourth Proportional to 6,983.21, 9,633.62 and 6,187.35

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Solution

The fourth proportional to 6,983.21, 9,633.62 and 6,187.35 is: 8,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.21 : 9,633.62 = 6,187.35 : x
  2. Step 2: Convert to fraction form
    6,983.21/9,633.62 = 6,187.35/x
  3. Step 3: Cross multiply
    6,983.21x = 9,633.62 × 6,187.35
  4. Step 4: Simplify right side
    6,983.21x = 59,606,576.11
  5. Step 5: Solve for x
    x = 59,606,576.11/6,983.21
  6. Step 6: Final answer
    x = 8,535.70

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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.