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Finding the Fourth Proportional to 9,686.98, 13,363.09 and 6,331.75

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Solution

The fourth proportional to 9,686.98, 13,363.09 and 6,331.75 is: 8,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.98 : 13,363.09 = 6,331.75 : x
  2. Step 2: Convert to fraction form
    9,686.98/13,363.09 = 6,331.75/x
  3. Step 3: Cross multiply
    9,686.98x = 13,363.09 × 6,331.75
  4. Step 4: Simplify right side
    9,686.98x = 84,611,745.11
  5. Step 5: Solve for x
    x = 84,611,745.11/9,686.98
  6. Step 6: Final answer
    x = 8,734.58

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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.