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Finding the Fourth Proportional to 9,694.98, 14,512.08 and 6,675.40

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Solution

The fourth proportional to 9,694.98, 14,512.08 and 6,675.40 is: 9,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.98 : 14,512.08 = 6,675.40 : x
  2. Step 2: Convert to fraction form
    9,694.98/14,512.08 = 6,675.40/x
  3. Step 3: Cross multiply
    9,694.98x = 14,512.08 × 6,675.40
  4. Step 4: Simplify right side
    9,694.98x = 96,873,982.00
  5. Step 5: Solve for x
    x = 96,873,982.00/9,694.98
  6. Step 6: Final answer
    x = 9,992.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.